4 papers
Grothendieck topologies with logarithmic modifications
Xianyu Hu, Maximilian Schimpf
Many concepts in log geometry are invariant under log blow-ups. To formalize this invariance, we introduce the m-open, m-étale, m-smooth, m-fppf, and m-fpqc topologies for fs log…
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…
Admissible covers and stable maps
Denis Nesterov, Maximilian Schimpf, Johannes Schmitt
Moduli spaces of admissible covers and stable maps of target curves give rise to cycles on . We prove a formula relating these cycles. It recovers both the Eked…
Stable pairs on local curves and Bethe roots
Maximilian Schimpf
We give an explicit formula for the descendent stable pair invariants of all (absolute) local curves in terms of certain power series called Bethe roots, which also appear in the p…