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math.AG2026
Cohomology of complex supertori
Hargun Bhatia, Soumya Ganguly, Zhiyuan Jiang +2
We consider supertori which are quotients of affine superspace by translations by algebraically independent odd parameters. Specifically, we describe the ring structure of its spac…
math.AG2025
On the cohomology of tautological bundles over Quot schemes of curves
Alina Marian, Dragos Oprea, Steven V Sam
We consider tautological bundles and their exterior and symmetric powers on the Quot scheme over the projective line. We prove and conjecture several statements regarding the vanis…
math.AG2024
Cohomology of flag supervarieties and resolutions of determinantal ideals. II
Steven V Sam, Andrew Snowden
We compute the coherent cohomology of the structure sheaf of complex periplectic Grassmannians. In particular, we show that it can be decomposed as a tensor product of the singular…