3 papers
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.AG2025
Logarithmic Quot spaces, boundedness, and K-tropicalizations
Patrick Kennedy-Hunt, Dhruv Ranganathan
Logarithmic Hilbert and Quot spaces are generalizations of their traditional versions adapted to study pairs and degenerations. The logarithmic Quot spaces of parameterize…
math.AG2025
Refined curve counting with descendants and quantum mirrors
Patrick Kennedy-Hunt, Qaasim Shafi, Ajith Urundolil Kumaran
Given a log Calabi--Yau surface , Bousseau has constructed a quantization of the mirror algebra of this pair. We give a formula for structure constants of this quantization…