collaborators
Showing math.AGShow all

5 papers · 1 filter

math.AG2026

Transitivity of the -loop group action on Schubert cells

Sean Howe

For a connected linear algebraic group over a -adic field, we show that the action of on each Schubert cell in the $\mathbb{B}_{\mathrm{dR}}^…

math.AG2025

The de Jong fundamental group of a non-trivial abelian variety is non-abelian

Sean Howe

We show that the de Jong fundamental group of any non-trivial abelian variety over a complete algebraically closed extension is non-abelian. Generalizing an argume…

math.AG2025

The de Jong fundamental group of depends on and is not always topologically countably generated

Sean Howe

For complete and algebraically closed, we show that the de Jong fundamental group depends on and, if has cardinality $…

math.AG2025

The geometric Sen morphism is the unique lift of the Kodaira--Spencer morphism

Sean Howe

We show that the geometric Sen morphism of a de Rham torsor over a smooth rigid analytic variety over a -adic field is the unique lift, along a natural map, of the Kodaira--Spen…

math.AG2025

A cohomological smoothness conjecture for moduli of mixed characteristic local shtukas with one leg

Sean Howe

We give a simple geometric characterization of the locus where the inscribed Banach--Colmez Tangent Spaces of moduli of mixed characteristic local shtukas with one leg and fixed de…