Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Algebraic Geometry: varieties and structures

2013/08/A/ST1/00804

Keywords:

algebraic varieties Fano varieties hyperkaehler manifolds contact manifolds Mori dream spaces

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_2: Algebra
  • ST1_5: Geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jarosław Wiśniewski 

Number of co-investigators in the project: 13

Call: MAESTRO 4 - announced on 2012-12-15

Amount awarded: 2 237 920 PLN

Project start date (Y-m-d): 2014-01-13

Project end date (Y-m-d): 2019-11-12

Project duration:: 70 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Notebook (11 000 PLN)
  2. Tablet ze stacją dokującą (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (39)
  • Articles in post-conference publications (3)
  • Book publications / chapters in book publications (2)
  1. A Tensor Version of the Quantum Wielandt Theorem
    Authors:
    Mateusz Michałek, Tim Seynnaeve, and Frank Verstraete
    Academic press:
    SIAM Journal on Matrix Analysis and Applications (rok: 2019, tom: 40, strony: 1125-1130), Wydawca: SIAM Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/18M1227664 - link to the publication
  2. Białynicki-Birula decomposition for reductive groups
    Authors:
    Joachim Jelisiejew, Łukasz Sienkiewicz
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2019, tom: 131, strony: 290-325), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2019.04.006 - link to the publication
  3. Complex best r-term approximations almost always exist in finite dimensions
    Authors:
    Yain, Qui, Mateusz Michałek, Lek-Heng Lim
    Academic press:
    Applied and Computational Harmonic Analysis (rok: 2019, tom: online, strony: online), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.acha.2018.12.003 - link to the publication
  4. Families of Calabi–Yau hypersurfaces in -Fano toric varieties
    Authors:
    Michela Artebani, Paola Comparin, Robin Guilbot
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2016, tom: 106, strony: 319-341), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2016.02.012 - link to the publication
  5. Fano manifolds whose elementary contractions are smooth P^1-fibrations
    Authors:
    Gianluca Occhetta, Luis E. Sola Conde, Kiwamu Watanabe, Jaroslaw Wisniewski
    Academic press:
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (rok: 2017, tom: XVII, strony: 573-607), Wydawca: Scuola Normale Superiore di Pisa
    Status:
    Published
    DOI:
    10.2422/2036-2145.201508_007 - link to the publication
  6. Interlacing Ehrhart Polynomials of Reflexive Polytopes
    Authors:
    Akihiro Higashitani, Mario Kummer, Mateusz Michałek
    Academic press:
    Selecta Mathematica (rok: 2017, tom: 23, strony: 2977-2998), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00029-017-0350-6 - link to the publication
  7. On the Pełczyński conjecture on Auerbach bases
    Authors:
    Andrzej Weber, Michał Wojciechowski
    Academic press:
    Communications in Contemporary Mathematics (rok: 2017, tom: 19, strony: 19), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021919971750016X - link to the publication
  8. Quasi-smooth hypersurfaces in toric varieties
    Authors:
    Michela Artebani, Paola Comparin, Robin Guilbot
    Academic press:
    Proceedings of American Mathematical Society (rok: 2019, tom: 147, strony: 4565-4579), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/14515 - link to the publication
  9. Residues formulas for the push-forward in K-theory, the case of G2/P
    Authors:
    Andrzej Weber, Magdalena Zielenkiewicz
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2019, tom: 49, strony: 361-380), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-018-0827-1 - link to the publication
  10. The poset of rational cones
    Authors:
    Joseph Gubeladze, Mateusz Michałek
    Academic press:
    Pacific Journal of Mathematics (rok: 2018, tom: 292, strony: 103-115), Wydawca: University of California
    Status:
    Published
    DOI:
    10.2140/pjm.2018.292.103 - link to the publication
  11. Triality, characteristic classes, D4 and G2 singularities
    Authors:
    Małgorzata Mikosz, Andrzej Weber
    Academic press:
    Journal of Homotopy and Related Structures (rok: 2014, tom: on-line, strony: on-line), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40062-014-0094-3 - link to the publication
  12. Apolarity, border rank and multigraded Hilbert scheme
    Authors:
    Weronika Buczyńska, Jarosław Buczyński
    Academic press:
    Duke Mathematical Journal (rok: 2021, tom: do ustalenia, strony: 35 str.), Wydawca: Duke University Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  13. A characterization of some Fano 4-folds through conic fibrations
    Authors:
    Pedro Montero, Eleonora Anna Romano
    Academic press:
    International Mathematics Research Notices (rok: 2019, tom: 2019, strony: on-line), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/imrn/rnz244 - link to the publication
  14. Flag bundles on Fano manifolds
    Authors:
    Gianluca Occhetta, Luis E. Solá Conde, Jarosław A. Wiśniewski
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2016, tom: 106, strony: 651-669), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2016.03.006 - link to the publication
  15. Hirzebruch class and Białynicki-Birula decomposition
    Authors:
    Andrzej Weber
    Academic press:
    Transformation Groups (rok: 2017, tom: 22, strony: 537-557), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/ - link to the publication
  16. Nestings of rational homogeneous varieties
    Authors:
    Roberto Muñoz, Gianluca Occhetta, and Luis E. Solá Conde
    Academic press:
    Transformation Groups (rok: 2020, tom: online, strony: 35 stron), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-020-09597-x - link to the publication
  17. Toric geometry of path signatures
    Authors:
    Laura Colmenarejo, Frncesco Gallupi, Mateusz Michałek
    Academic press:
    Advances in Applied Mathematics (rok: 2020, tom: online, strony: 35 str.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2020.102102 - link to the publication
  18. The Bogomolov-Miyaoka-Yau inequality for logarithmic surfaces in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Duke Mathematical Journal (rok: 2016, tom: 165, strony: 2737-2769), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/00127094-3627203 - link to the publication
  19. A survey on the Campana-Peternell Conjecture
    Authors:
    Roberto Munoz, Gianluca Occhetta, Luis E. Sola Conde, Kiwamu Watanabe, Jaroslaw Wisniewski
    Academic press:
    Rendiconti dell'Instituto di Matematica dell'Università di Trieste (rok: 2015, tom: 47, strony: 127–185), Wydawca: Instituto di Matematica dell'Università di Trieste
    Status:
    Published
    DOI:
    10.13137/0049-4704/11223 - link to the publication
  20. Birational geometry of compactifications of Drinfeld half-spaces over a finite field
    Authors:
    Adrian Langer
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 345, strony: 861-908), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.01.031 - link to the publication
  21. Cox rings and algebraic maps
    Authors:
    Tomasz Mańdziuk
    Academic press:
    Mathematische Nachrichten (rok: 2019, tom: 292, strony: 389-401), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201700125 - link to the publication
  22. Crepant resolutions of 3-dimensional quotient singularities via Cox rings
    Authors:
    Maria Donten-Bury, Maksymilian Grab
    Academic press:
    Experimental Mathematics (rok: 2019, tom: 28, strony: 161-180), Wydawca: Peters LTD
    Status:
    Published
    DOI:
    10.1080/10586458.2017.1368049 - link to the publication
  23. Equivariant Hirzebruch class for quadratic cones via degenerations
    Authors:
    Małgorzata Mikosz, Andrzej Weber
    Academic press:
    Journal of Singularities (rok: 2015, tom: 12, strony: on-line), Wydawca: Worldwide Center of Mathematics
    Status:
    Published
    DOI:
    10.5427/jsing.2015.12i - link to the publication
  24. On Strassen's rank additivity for small three-way tensors
    Authors:
    Jarosław Buczyński, Elisa Postinghel, Filip Rupniewski
    Academic press:
    SIAM Journal on Matrix Analysis and Application (rok: 2020, tom: 41, strony: 106-133), Wydawca: SIAM Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/19M1243099 - link to the publication
  25. On rigidity of flag varieties
    Authors:
    Andrzej Weber, Jarosław Wiśniewski
    Academic press:
    International Mathematics Research Notices (rok: 2018, tom: 2018(9), strony: 2967–2979), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnw334 - link to the publication
  26. A note on flatness of some fiber type contractions
    Authors:
    Eleonora Anna Romano
    Academic press:
    Proceedings of the Japan Academy, Series A, Mathematical Sciences (rok: 2019, tom: 95, strony: 103-106), Wydawca: The Japan Academy
    Status:
    Published
    DOI:
    10.3792/pjaa.95.103 - link to the publication
  27. Computing images of polynomial maps
    Authors:
    Corey Harris, Mateusz Michałek, Emre Can Sertöz
    Academic press:
    Advances in Computational Mathematics (rok: 2019, tom: 2019, strony: on-line), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10444-019-09715-8 - link to the publication
  28. Equivariant Hirzebruch class for singular varieties
    Authors:
    Andrzej Weber
    Academic press:
    Selecta Matematica (rok: 2016, tom: 22, strony: 1413-1454), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00029-015-0214-x - link to the publication
  29. Exponential varieties
    Authors:
    Mateusz Michalek, Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2016, tom: 112, strony: 27-56), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms/pdv066 - link to the publication
  30. On 81 symplectic resolutions of a 4 -dimensional quotient by a group of order 32
    Authors:
    Maria Donten-Bury, Jarosław A. Wiśniewski
    Academic press:
    Kyoto Journal of Mathematics (rok: 2017, tom: 57, strony: 395-434), Wydawca: Duke Univ Press
    Status:
    Published
    DOI:
    10.1215/21562261-3821846 - link to the publication
  31. A very special EPW sextic and two IHS fourfolds
    Authors:
    Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka, Michal Kapustka, Jaroslaw Wisniewski
    Academic press:
    Geometry & Topology (rok: 2017, tom: 21, strony: 1179–1230), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/gt.2017.21.1179 - link to the publication
  32. Adjunction for varieties with a C* action
    Authors:
    Eleonora Romano, Jarosław Wiśniewski
    Academic press:
    Transformation Groups (rok: 2020, tom: online, strony: 43 str), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/ - link to the publication
  33. Deformation of Bott–Samelson varieties and variations of isotropy structures
    Authors:
    Gianluca Occhetta, Luis E. Solá Conde
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2020, tom: 224, strony: 29 stron), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2019.106303 - link to the publication
  34. Elliptic classes, McKay correspondence,and theta identities.
    Authors:
    Małgorzata Mikosz, Andrzej Weber
    Academic press:
    Journal of algebraic Combinatorics (rok: 2020, tom: online, strony: 26 stron), Wydawca: Springer
    Status:
    Published
    DOI:
    0.1007/s10801-020-00938-3 - link to the publication
  35. Equivariant Hirzebruch classes and Molien series of quotient singularities
    Authors:
    Maria Donten-Bury, Andrzej Weber
    Academic press:
    Transformation Groups (rok: 2018, tom: 23, strony: 671–705), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-017-9452-7 - link to the publication
  36. Generic positivity and foliations in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Advances in Mathematics (rok: 2015, tom: 277, strony: 45314), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2015.02.015 - link to the publication
  37. Hackbusch Conjecture on tensor formats
    Authors:
    Weronika Buczyńska, Jarosław Buczyński, Mateusz Michałek
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2015, tom: 104, strony: 749-761), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.matpur.2015.05.002 - link to the publication
  38. Quantum Version of Wielandt's Inequality Revisited
    Authors:
    Mateusz Michałek, Yaroslaw Shitov
    Academic press:
    IEEE Transactions on Information Theory (rok: 2019, tom: 65, strony: 5239-5242), Wydawca: IEEE Institute of Electrical and Electronics Engineers
    Status:
    Published
    DOI:
    10.1109/TIT.2019.2897772 - link to the publication
  39. Algebraic torus actions on contact manifolds
    Authors:
    Jarosław Buczyński, Andrzej Weber, Jarosław Wiśniewski
    Academic press:
    Journal of Differential Geometry (rok: 2021, tom: do ustalenia, strony: 69 stron), Wydawca: International Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. Characteristic classes of orbit stratifications, the axiomatic approach
    Authors:
    Laszlo Feher, Richard Rimanyi, Andrzej Weber
    Conference:
    International Coference on the Trends in Schubert Calculus (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja 6 - 10 list.2017
    Status:
    Published
  2. Pushing-forward Schur classes using iterated residues at infinity
    Authors:
    Magdalena Zielenkiewicz
    Conference:
    Schubert varieties, equivariant cohomology and characteristic classes IMPANGA15 (rok: 2017, ), Wydawca: European Mathematical Society
    Data:
    konferencja 12-18 kwietnia, 2015
    Status:
    Published
  3. Leray spectral sequence for complements of certain arrangements of smooth submanifolds
    Authors:
    Andrzej Weber
    Conference:
    Configuration Spaces - Geometry, Topology and Representation Theory (rok: 2016, ), Wydawca: INdAM series, Springer-Verlag
    Data:
    konferencja 31.08-06.09 2014
    Status:
    Published
    DOI:
    link to the publication
  1. Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems
    Authors:
    Jarosław Buczyński, Giovanni Moreno
    Book:
    Geometry of Lagrangian Grassmannians and Nonlinear PDEs (rok: 2019, tom: 117, strony: 145-176), Wydawca: Banach Center Publications
    Status:
    Published
    DOI:
    link to the publication
  2. Invited review of the book "Geometry and Complexity Theory" by JM Landsberg
    Authors:
    Mateusz Michałek
    Book:
    Bulletin of the American Mathematical Society (rok: 2020, tom: 58, strony: online 8 stron), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    link to the publication

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