Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Algebraic varieties: arithmetic and geometry

2012/07/B/ST1/03343

Keywords:

vector bundles singularities derived categories

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_3: Number theory

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: 5

Call: OPUS 4 - announced on 2012-09-15

Amount awarded: 385 100 PLN

Project start date (Y-m-d): 2013-07-03

Project end date (Y-m-d): 2016-01-02

Project duration:: 30 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. program Microsoft Word (303 PLN)
  2. komputer (6 000 PLN)
  3. komputer typu desktop (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  1. On positivity and semistability of vector bundles in finite and mixed characteristics
    Authors:
    Adrian Langer
    Academic press:
    J. Ramanujan Math. Soc. (rok: 2013, tom: 28A, strony: 287-309), Wydawca: RAMANUJAN MATHEMATICAL SOCIETY
    Status:
    Published
    DOI:
    brak - link to the publication
  2. On mod p non-abelian Lubin-Tate theory for GL_2(Q_p)
    Authors:
    Przemysław Chojecki
    Academic press:
    Compositio Mathematica (rok: 2015, tom: 3, strony: 45320), Wydawca: CAMBRIDGE UNIV PRESS
    Status:
    Published
    DOI:
    10.1112/S0010437X14008008 - link to the publication
  3. Semistable modules over Lie algebroids in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Documenta Mathematica (rok: 2014, tom: 19, strony: 509-540), Wydawca: Deutsche Mathematiker-Vereinigung (DMV)
    Status:
    Published
    DOI:
    brak - link to the publication
  4. A very special EPW sextic and two IHS fourfolds
    Authors:
    Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka, Michał Kapustka, Jarosław A. Wiśniewski
    Academic press:
    Geometry & Topology (rok: 2017, tom: 21, strony: 1179–1230), Wydawca: GEOMETRY & TOPOLOGY PUBLICATIONS
    Status:
    Published
    DOI:
    10.2140/gt.2017.21.1179 - link to the publication
  5. 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 UNIV PRESS
    Status:
    Published
    DOI:
    10.1215/00127094-3627203 - link to the publication
  6. Bogomolov's inequality for Higgs sheaves in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Inventiones Mathematicae (rok: 2015, tom: 199, strony: 889-920), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00222-014-0534-z - link to the publication
  7. K(π,1)-neighborhoods and comparison theorems
    Authors:
    Piotr Achinger
    Academic press:
    Compositio Mathematica (rok: 2015, tom: 151, strony: 1945-1964), Wydawca: Cambridge Univ Press
    Status:
    Published
    DOI:
    10.1112/S0010437X15007319 - link to the publication
  8. F-split and F-regular varieties with a diagonalizable group action
    Authors:
    Piotr Achinger, Nathan Ilten, Hendrik Süß
    Academic press:
    Journal of Algebraic Geometry (rok: 2017, tom: 26, strony: 603–654), Wydawca: AMER. MATHEMATICAL SOC.
    Status:
    Published
    DOI:
    10.1090/jag/686 - link to the publication
  9. 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
  10. On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32
    Authors:
    Maria Donten-Bury, Jaroslaw Wisniewski
    Academic press:
    Kyoto J. Math. (rok: 2017, tom: 57, strony: 395-434), Wydawca: Duke University Press
    Status:
    Published
    DOI:
    10.1215/21562261-3821846 - link to the publication
  11. An adjunction formula for the Emerton-Jacquet functor
    Authors:
    John Bergdall, Przemyslaw Chojecki
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 223, strony: 18994), Wydawca: Springer Heidelberger
    Status:
    Submitted
    DOI:
    10.1007/s11856-017-1611-y - link to the publication
  12. Flops and spherical functors
    Authors:
    Agnieszka Bodzenta, Alexey Bondal
    Academic press:
    Pojawi się jak praca zostanie zaakceptowana, praca jest preprintem na arXive , Wydawca: X
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Triangulated categories and morphisms of relative dimension one
    Authors:
    Agnieszka Bodzenta, Alexey Bondal
    Academic press:
    Ta wersja została połączona z pracą 11; w tej wersji pozostanie preprintem , Wydawca: X
    Status:
    Submitted
    DOI:
    brak - link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy