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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Geometry of Calabi-Yau threefolds and Grassmann bundles

2014/13/B/ST1/00133

Keywords:

push-forward Calabi-Yau threefolds Schur polynomials Picard-Fuchs operator

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 Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir Cynk 

Number of co-investigators in the project: 2

Call: OPUS 7 - announced on 2014-03-17

Amount awarded: 255 700 PLN

Project start date (Y-m-d): 2015-02-02

Project end date (Y-m-d): 2018-08-01

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer osobisty (laptop) (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (8)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (2)
  1. A Gysin formula for Hall-Littlewood polynomials
    Authors:
    Piotr Pragacz
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2015, tom: 143, strony: 4705-4711), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9939-2015-12623-8 - link to the publication
  2. A special Calabi-Yau degenerstion with trivial monodromy
    Authors:
    S. Cynk, D. van Straten
    Academic press:
    Journal of Algebraic Geometry (rok: 2019, tom: nie dotyczy, strony: nie dotyczy), Wydawca: American Mathematical Society
    Status:
    Submitted
  3. Gysin maps, duality and Schubert classes
    Authors:
    L. Darondeau, P. Pragacz
    Academic press:
    Fundamenta Mathematicae (rok: 2019, tom: 244, strony: 191-208), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/fm588-6-2018 - link to the publication
  4. Universal Gysin formulas for flag bundles
    Authors:
    Lionel Darondeau, Piotr Pragacz
    Academic press:
    International Journal of Mathematics (rok: 2017, tom: 27 (9), strony: 23), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0129167X1750077X - link to the publication
  5. Hodge numbers of hypersurfaces in $\PP^{4}$ with ordinary triple points
    Authors:
    S. Cynk
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2019, tom: nie dotyczy, strony: nie dotyczy), Wydawca: American Mathematical Society
    Status:
    Submitted
  6. Classification of double octic Calabi-Yau threefolds with $h^{1,2}\le1$ defined by an arrangement of eight planes
    Authors:
    S. Cynk, B. Kocel-Cynk
    Academic press:
    Communications in Contemporary Mathematics (rok: 2019, tom: nie dotyczy, strony: nie dotyczy), Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1142/S0219199718500827 - link to the publication
  7. Defect formula for nodal complete intersection threefolds
    Authors:
    S. Cynk
    Academic press:
    International Journal of Mathematics (rok: 2019, tom: 30, strony: 1950020), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X19500204 - link to the publication
  8. Hilbert modularity of some double octic Calabi-Yau threefolds
    Authors:
    S. Cynk, M. Schuett, D. van Straten
    Academic press:
    Journal of Number Theory (rok: 2019, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Elsevier
    Status:
    Submitted
  1. Flag bundles, Segre polynomials, and push-forwards
    Authors:
    L Darondeau, P. Pragacz
    Conference:
    International Festival in Schubert Calculus (rok: 2019, ), Wydawca: Springer
    Data:
    konferencja November 6-10, 2017
    Status:
    Accepted for publication
  1. Friedrich Hirzebruch - a handful of reminiscences
    Authors:
    P. Pragacz
    Book:
    Schubert Varieties, Equivariant Cohomology and Characteristic Classes, IMPANGA 15 (rok: 2018, tom: nie dotyczy, strony: 45558), Wydawca: Eur. Math. Soc., Zürich
    Status:
    Published
  2. On a certain family of U(b)-module
    Authors:
    P. Pragacz
    Book:
    Schubert Varieties, Equivariant Cohomology and Characteristic Classes, IMPANGA 15 (rok: 2018, tom: nie dotyczy, strony: 203-224), Wydawca: Eur. Math. Soc., Zürich
    Status:
    Published