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.
Lanini, M., Strickland, E. (2019). Cohomology of the flag variety under PBW degenerations. TRANSFORMATION GROUPS, 24(3), 835-844 [10.1007/s00031-018-9484-7].
Cohomology of the flag variety under PBW degenerations
Lanini Martina;Strickland Elisabetta
2019-01-01
Abstract
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.File in questo prodotto:
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