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 and variation of geometric structures on algebraic varieties

2018/29/B/ST1/01232

Keywords:

algebraic varieties fundamental group moduli spaces deformation theory

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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Adrian Langer 

Number of co-investigators in the project: 2

Call: OPUS 15 - announced on 2018-03-15

Amount awarded: 450 600 PLN

Project start date (Y-m-d): 2019-01-24

Project end date (Y-m-d): 2023-01-23

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. urządzenie wielofunkcyjne laserowe (2 000 PLN)
  2. Tablet Apple iPad Pro 12,9".
  3. komputer stacjonarny z monitorem (9 000 PLN)
  4. laptop (np. MacBook Air) (7 000 PLN)
  5. MS Windows 10 Pro 64 PL OEM.

Information in the final report

  • Publication in academic press/journals (12)
  1. On Smooth Projective D-Affine Varieties
    Authors:
    Adrian Langer
    Academic press:
    International Mathematics Research Notices (rok: 2021, tom: 15, strony: 11889-11922), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnz370 - link to the publication
  2. Bogomolov's inequality and Higgs sheaves on normal varieties in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. On algebraic Chern classes of flat vector bundles
    Authors:
    Adrian Langer
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Reconstruction of a surface from the category of reflexive sheaves
    Authors:
    Agnieszka Bodzenta, Alexey Bondal
    Academic press:
    Journal of the European Mathematical Society , Wydawca: EMS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Flops and spherical functors
    Authors:
    Agnieszka Bodzenta, Alexey Bondal
    Academic press:
    Compositio Mathematica (rok: 2022, tom: 158, strony: 1125-1187), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1112/S0010437X22007497 - link to the publication
  6. On boundedness of semistable sheaves
    Authors:
    Adrian Langer
    Academic press:
    Documenta Mathematica (rok: 2022, tom: 27, strony: 45307), Wydawca: Deutsche Mathematiker-Vereinigung e.V., Berlin
    Status:
    Published
    DOI:
    10.25537/dm.2022v27.1-16 - link to the publication
  7. Categoryfying non-commutative deformations
    Authors:
    Agnieszka Bodzenta, Alexey Bondal
    Academic press:
    J. Reine Angew. Math. , Wydawca: de Gruyter
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Intersection theory and Chern classes on normal varieties
    Authors:
    Adrian Langer
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Nearby cycles and semipositivity in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Journal of the European Mathematical Society (rok: 2022, tom: 24, strony: 3829-3872), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/JEMS/1235 - link to the publication
  10. Moduli spaces of semistable modules over Lie algebroids
    Authors:
    Adrian Langer
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. On birational boundedness of foliated surfaces
    Authors:
    Christopher D. Hacon, Adrian Langer
    Academic press:
    J. Reine Angew. Math. (rok: 2021, tom: 770, strony: 205-229), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/crelle-2020-0009 - link to the publication
  12. Positivity vs. slope semistability for bundles with vanishing discriminant
    Authors:
    Mihai Fulger, Adrian Langer
    Academic press:
    Journal of Algebra (rok: 2022, tom: 609, strony: 657-687), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.07.014 - link to the publication

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