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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.AC2026
Powers of binary forms and derived Hermite reciprocity
Claudiu Raicu, Steven V Sam, Jerzy Weyman +1
For , Hilbert found in 1886 a collection of polynomial equations that cut out set-theoretically the variety X parametrizing a-th powers of binary forms of degree b. We d…
math.RT2026
Borel-Weil factorization for super Grassmannians
Steven V Sam
This article deals with computing the cohomology of Schur functors applied to tautological bundles on super Grassmannians. We show that in a range of cases, the cohomology is a fre…