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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 . We prove a formula relating these cycles. It recovers both the Eked…