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math.AG2026
The logarithmic generalised Kummer locus and its tropicalisation
Patrick Kennedy-Hunt
We construct a separated logarithmic compactification of a divisor in the moduli of polarised irreducible holomorphic symplectic (IHS) varieties of generalised Kummer type in dimen…
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…