Maximilian Schimpf

activity

20232026

collaborators

5 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

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 s…

math.AG2025

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 $M_{g, n}$ . We prove a formula relating these cycles. It recovers both the Eked…

math.AG2024

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…

math.AG2023

Pandharipande-Thomas theory of elliptic threefolds, quasi-Jacobi forms and holomorphic anomaly equations

Georg Oberdieck, Maximilian Schimpf

Let $π : X \to B$ be an elliptically fibered threefold satisfying $c_{3} (T_{X} \otimes ω_{X}) = 0$ . We conjecture that the $π$ -relative generating series of Pandharipande-Thomas invariants…