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math.AG2026
Coherent sheaves in logarithmic geometry
Hannah Dell, Xianyu Hu, Patrick Kennedy-Hunt +2
This paper introduces an abelian category of logarithmic coherent sheaves that arranges coherent sheaves across all expansions and root stacks of a simple normal crossing degenerat…
math.AG2023
Cyclic covers: Hodge theory and categorical Torelli theorems
Hannah Dell, Augustinas Jacovskis, Franco Rota
Let admit a rectangular Lefschetz decomposition of its derived category, and consider a cyclic cover ramified over a divisor . In a setting not considered by Kuznet…
math.AG2023
Stability conditions on free abelian quotients
Hannah Dell
We study slope-stable vector bundles and Bridgeland stability conditions on varieties which are a quotient of a smooth projective variety by a finite abelian group acting freel…