Sean Cotner

most citedCentralizers of sections of a reductive group scheme

2 citations · 4 across the 3 of their papers we have counts for

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math.AG2026★ 2 cited

Springer isomorphisms over a general base scheme

Sean Cotner

We establish the existence of Springer isomorphisms for reductive group schemes over general base schemes. For this, we first study centralizers of fiberwise regular sections of re…

math.AG2026★ 2 cited

Centralizers of sections of a reductive group scheme

Sean Cotner

This paper proves a number of flatness results for centralizers of sections of a reductive group scheme over a general base scheme. To this end, we establish relative versions of t…

math.AG2025

Hom schemes for algebraic groups

Sean Cotner

In SGA3, Demazure and Grothendieck showed that if $G$ and $H$ are smooth affine group schemes over a scheme $S$ and $G$ is reductive, then the functor of $S$ -homomorphism $G \to H$ …