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math.AG2026
Subspace concentration condition and Bogomolov--Gieseker inequality
Carl Tipler
We provide a necessary condition for integral polytopes to satisfy subspace concentration type inequalities, by mean of a convex geometric interpretation of the Bogomolov--Gieseker…
math.AG2026
Decomposition of toric sheaves
Carl Tipler
We show that the abelian category of coherent toric sheaves is generated, as a Serre subcategory, by pushforwards of rank one reflexive sheaves supported on invariant subvarieties.…