COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS

被引：3
|
作者：
Lanini, Martina [1 ]
Strickland, Elisabetta [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
来源：
TRANSFORMATION GROUPS | 2019年 / 24卷 / 03期
关键词：
D O I：
10.1007/s00031-018-9484-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
PBW degenerations are a particularly nice family of proper flat degenerations of type A flag varieties. We show that the cohomology of any PBW degeneration of the flag variety surjects onto the cohomology of the original flag variety, and that this holds in an equivariant setting too. We also prove that the same is true in the symplectic setting when considering Feigin's linear degeneration of the symplectic flag variety.
引用
下载
收藏
页码：835 / 844
页数：10
相关论文
共 50 条
  • [1] COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS
    MARTINA LANINI
    ELISABETTA STRICKLAND
    Transformation Groups, 2019, 24 : 835 - 844
  • [2] Weighted PBW degenerations and tropical flag varieties
    Pang, X.
    Feigin, E.
    Fourier, G.
    Makhlin, I
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (01)
  • [3] Motzkin Combinatorics in Linear Degenerations of the Flag Variety
    Irelli, Giovanni Cerulli
    Esposito, Francesco
    Marietti, Mario
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (22) : 19184 - 19204
  • [4] Cohomology of a flag variety as a Bethe algebra
    R. Rimányi
    V. Schechtman
    V. Tarasov
    A. Varchenko
    Functional Analysis and Its Applications, 2011, 45 : 252 - 264
  • [5] Cohomology of a flag variety as a Bethe algebra
    Rimanyi, R.
    Schechtman, V.
    Tarasov, V.
    Varchenko, A.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2011, 45 (04) : 252 - 264
  • [6] Multiplicative rule in the Grothendieck cohomology of a flag variety
    Duan, Haibao
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 600 : 157 - 176
  • [7] COMBINATORIAL DESCRIPTION OF THE COHOMOLOGY OF THE AFFINE FLAG VARIETY
    Lee, Seung Jin
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (06) : 4029 - 4057
  • [8] Cohomology ring of the flag variety vs Chow cohomology ring of the Gelfand-Zetlin toric variety
    Kaveh, Kiumars
    Villella, Elise
    JOURNAL OF COMBINATORIAL ALGEBRA, 2022, 6 (1-2) : 1 - 21
  • [9] The cohomology of line bundles on the three-dimensional flag variety
    Donkin, Stephen
    JOURNAL OF ALGEBRA, 2007, 307 (02) : 570 - 613
  • [10] Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety
    Anwar, Muhammad Fazeel
    MATHEMATICS, 2019, 7 (03)
12345