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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Configurations of subvarieties

2014/15/B/ST1/02197

Keywords:

birational maps Nagata conjecture SHGH conjecture Seshadri constans symbolic powers Waldschmidt constants

Descriptors:

  • ST1_4: Algebraic and complex 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 Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie, Wydział Matematyczno-Fizyczno-Techniczny

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Tomasz Szemberg 

Number of co-investigators in the project: 5

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 345 000 PLN

Project start date (Y-m-d): 2015-07-09

Project end date (Y-m-d): 2018-07-08

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny z oprogramowaniem (5 000 PLN)
  2. komputer stacjonarny z oprogramowaniem (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (27)
  • Book publications / chapters in book publications (2)
  1. On a conjecture of Demailly and new bounds on Waldschmidt constants in P^N
    Authors:
    Grzegorz Malara, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Number Theory (rok: 2018, tom: 189, strony: 211-219), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2017.12.004 - link to the publication
  2. On automorphisms of Enriques surfaces and their entropy
    Authors:
    Yuya Matsumoto, Hisanori Ohashi, Sławomir Rams
    Academic press:
    Mathematische Nachrichten (rok: 2018, tom: 291, strony: 2084-2098), Wydawca: WILEY-V C H VERLAG GMBH
    Status:
    Published
    DOI:
    10.1002/mana.201700329 - link to the publication
  3. On the containment problem
    Authors:
    Tomasz Szemberg, Justyna Szpond
    Academic press:
    Rend. Circ. Mat. Palermo (rok: 2017, tom: 66, strony: 233-245), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12215-016-0281-7 - link to the publication
  4. Seshadi constants via functions on Newton-Okounkov bodies
    Authors:
    M. Dumnicki, A. Kuronya, C. Maclean, T. Szemberg
    Academic press:
    Mathematische Nachrichten (rok: 2016, tom: 289, strony: 2173-2177), Wydawca: WILEY-V C H VERLAG GMBH, POSTFACH 101161, 69451 WEINHEIM, GERMANY
    Status:
    Published
    DOI:
    10.1002/mana.201500280 - link to the publication
  5. The Halphen cubics of order two
    Authors:
    Thomas Bauer, Brian Harbourne, Joaquim Roe, Tomasz Szemberg
    Academic press:
    Collectanea Mathematica (rok: 2017, tom: 68, strony: 339-357), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-016-0172-4 - link to the publication
  6. Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants
    Authors:
    Thomas Bauer, Sandra Di Rocco, Brian Harbourne, Jack Huizenga, Alexandra Seceleanu, Tomasz Szemberg
    Academic press:
    International Mathematics Research Notices , Wydawca: OXFORD UNIV PRESS
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnx329 - link to the publication
  7. Counting Lines on Quartic Surfaces
    Authors:
    Victor Gonzalez-Alonso, Sławomir Rams
    Academic press:
    TAIWANESE JOURNAL OF MATHEMATICS (rok: 2016, tom: 20, strony: 769-785), Wydawca: MATHEMATICAL SOC REP CHINA, NATL CHIAO TUNG UNIV, DEPT APPLIED MATHEMATICS,, HSINCHU, 00000, TAIWAN
    Status:
    Published
    DOI:
    10.11650/tjm.20.2016.7135 - link to the publication
  8. On the parameter spaces of some Boroczky configurations
    Authors:
    Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska, Halszka Tutaj-Gasińska
    Academic press:
    International Journal of Algebra and Computation (rok: 2018, tom: 28, strony: 1231-1246), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD
    Status:
    Published
    DOI:
    10.1142/S0218196718500558 - link to the publication
  9. On the postulation of lines and a fat line
    Authors:
    Thomas Bauer, Sandra Di Rocco, David Schmitz, Tomasz Szemberg, Justyna Szpond
    Academic press:
    Journal of Symbolic Computation (rok: 2019, tom: 91, strony: 45367), Wydawca: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.jsc.2018.06.010 - link to the publication
  10. Rationality of Seshadri constants and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture
    Authors:
    M. Dumnicki, A Kuronya, C. Maclean, T. Szemberg
    Academic press:
    Advances in Mathematics (rok: 2016, tom: 303, strony: 1162-1170), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
    Status:
    Published
    DOI:
    10.1016/j.aim.2016.05.025 - link to the publication
  11. Resurgences for ideals of special point configurations in P^N coming from hyperplane arrangements
    Authors:
    M. Dumnicki, B. Harbourne, U. Nagel, A. Seceleanu, T. Szemberg, H. Tutaj-Gasinska
    Academic press:
    Journal of Algebra (rok: 2015, tom: 443, strony: 383-394), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.07.022 - link to the publication
  12. Very general monomial valuations of P^2 and a Nagata type conjecture
    Authors:
    M. Dumnicki, B. Harbourne, A. Kuronya, J. Roe, T. Szemberg
    Academic press:
    Commun. Anal. Geom (rok: 2017, tom: 25, strony: 125-161), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/CAG.2017.v25.n1.a4 - link to the publication
  13. AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2)
    Authors:
    Sławomir Rams, Matthias Schütt
    Academic press:
    Nagoya Mathematical Journal (rok: 2018, tom: 232, strony: 76-95), Wydawca: CAMBRIDGE UNIV PRESS
    Status:
    Published
    DOI:
    10.1017/nmj.2017.21 - link to the publication
  14. Bounded negativity, Harbourne constants and transversal arrangements of curves
    Authors:
    Piotr Pokora, Xavier Roulleau, Tomasz Szemberg
    Academic press:
    Ann. Inst. Fourier, Grenoble (rok: 2017, tom: 67, strony: 2719-2735), Wydawca: INST MATHEMATIQUES PURES BOITE
    Status:
    Published
    DOI:
    10.5802/aif.3149 - link to the publication
  15. Containment problem and combinatorics
    Authors:
    Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska, Halszka Tutaj-Gasińska
    Academic press:
    Journal of algebraic combinatorics (rok: 2019, tom: 50, strony: 39-47), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-018-0838 - link to the publication
  16. Harbourne constants and conic configurations on the projective plane
    Authors:
    Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    Mathematische Nachrichten (rok: 2016, tom: 289, strony: 888-894), Wydawca: WILEY-V C H VERLAG GMBH, POSTFACH 101161, 69451 WEINHEIM, GERMANY
    Status:
    Published
    DOI:
    10.1002/mana.201500253 - link to the publication
  17. Initial sequences and Waldschmidt constants of planar point configurations
    Authors:
    Ł. Farnik, J. Gwoździewicz, B. Hejmej , M. Lampa-Baczyńska, G. Malara, J. Szpond
    Academic press:
    Internat. J. Algebra Comput (rok: 2017, tom: 27, strony: 717-729), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S0218196717500345 - link to the publication
  18. On absolute linear Harbourne constants
    Authors:
    Marcin Dumnicki, Daniel Harrer, Justyna Szpond
    Academic press:
    Finite Fields and Their Applications (rok: 2018, tom: 51, strony: 371-387), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ffa.2018.03.001 - link to the publication
  19. Restrictions on Seshadri Constants on Surfaces
    Authors:
    Łucja Farnik, Tomasz Szemberg, Justyna Szpond, Halszka Tutaj-Gasińska
    Academic press:
    Taiwanese Journal of Mathematics (rok: 2017, tom: 21, strony: 27-41), Wydawca: Mathematical Society of the Republic of China (Taiwan)
    Status:
    Published
    DOI:
    10.11650/tjm.21.2017.7746 - link to the publication
  20. Symbolic powers of planar point configurations II
    Authors:
    M. Dumnicki, T. Szemberg, H. Tutaj-Gasińska
    Academic press:
    JOURNAL OF PURE AND APPLIED ALGEBRA (rok: 2016, tom: 220, strony: 2001-2016), Wydawca: ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
    Status:
    Published
    DOI:
    10.012 - link to the publication
  21. The containment problem and a rational simplicial arrangement
    Authors:
    Grzegorz Malara, Justyna Szpond
    Academic press:
    Electronic Research Announcement in Mathematical Science (rok: 2017, tom: 24, strony: 123-128), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
    Status:
    Published
    DOI:
    10.3934/era.2017.24.013 - link to the publication
  22. When are Zariski chambers numerically determined?
    Authors:
    S. Rams, T. Szemberg
    Academic press:
    FORUM MATHEMATICUM (rok: 2016, tom: 28, strony: 1159-1166), Wydawca: WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
    Status:
    Published
    DOI:
    10.1515/forum-2015-0087 - link to the publication
  23. Asymptotic Hilbert Polynomial and a bound for Waldschmidt constants
    Authors:
    Marcin Dumnicki, Łucja Farnik, Halszka Tutaj-Gasińska
    Academic press:
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES (rok: 2016, tom: 23, strony: 45522), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
    Status:
    Published
    DOI:
    10.3934/era.2016.23.002 - link to the publication
  24. Fermat-type configurations of lines in P3 and the containment problem
    Authors:
    Grzegorz Malara, Justyna Szpond
    Academic press:
    J. Pure Appl. Algebra (rok: 2018, tom: 222, strony: 2323-2329), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2017.09.015 - link to the publication
  25. On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces
    Authors:
    Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska
    Academic press:
    ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES (rok: 2015, tom: 22, strony: 103-108), Wydawca: AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
    Status:
    Published
    DOI:
    10.3934/era.2015.22.103 - link to the publication
  26. A containment result in $ P^n$ and the Chudnovsky Conjecture
    Authors:
    Marcin Dumnicki, Halszka Tutaj-Gasińska
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2017, tom: 145, strony: 3689-3694), Wydawca: AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
    Status:
    Published
    DOI:
    10.1090/proc/13582 - link to the publication
  27. From Pappus Theorem to parameter spaces of some extremal line point configurations and applications
    Authors:
    M. Lampa-Baczyńska, J. Szpond
    Academic press:
    Geom. Dedicata (rok: 2017, tom: 188, strony: 103-121), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-016-0207-8 - link to the publication
  1. Waldschmidt Constants for Stanley–Reisner Ideals of a Class of Graphs
    Authors:
    Tomasz Szemberg, Justyna Szpond
    Book:
    Multigraded Algebra and Applications (rok: 2018, tom: 238, strony: 159-167), Wydawca: Springer International Publishing AG
    Status:
    Published
  2. On Codimension Two Flats in Fermat-Type Arrangements
    Authors:
    Grzegorz Malara, Justyna Szpond
    Book:
    Multigraded Algebra and Applications (rok: 2018, tom: 238, strony: 95-109), Wydawca: Springer International Publishing AG
    Status:
    Published

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