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.
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页码：835 / 844
页数：10
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