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COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, I-00133, Rome, Italy

    MARTINA LANINI & ELISABETTA STRICKLAND

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  1. MARTINA LANINI
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  2. ELISABETTA STRICKLAND
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Correspondence to MARTINA LANINI.

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LANINI, M., STRICKLAND, E. COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS. Transformation Groups 24, 835–844 (2019). https://doi.org/10.1007/s00031-018-9484-7

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  • DOI: https://doi.org/10.1007/s00031-018-9484-7

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