Maximum generalized Hasse-Witt invariants and their applications to anabelian geometry

DOI10.1007/s00029-021-00720-8OpenAlexW3214645278MaRDI QIDQ2056170

Yu Yang

Publication date: 1 December 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01073

zbMATH Keywords

positive characteristicanabelian geometrypointed stable curveadmissible fundamental groupadmissible coveringgeneralized Hasse-Witt invariantRaynaud-Tamagawa theta divisor

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (3)

On topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic ⋮ Topology of moduli spaces of curves and anabelian geometry in positive characteristic ⋮ Raynaud-Tamagawa theta divisors and new-ordinariness of ramified coverings of curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Abelian étale coverings of generic curves and ordinarity
• The p-rank of Artin-Schreier curves
• On the admissible fundamental groups of curves over algebraically closed fields of characteristic \(p>0\)
• Raynaud-Tamagawa theta divisors and new-ordinariness of ramified coverings of curves
• On the averages of generalized Hasse-Witt invariants of pointed stable curves in positive characteristic
• Ordinary and almost ordinary Prym varieties
• Group-theoretic characterizations of almost open immersions of curves
• Semi-graphs of anabelioids
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Field Arithmetic
• Finiteness of isomorphism classes of curves in positive characteristic with prescribed fundamental groups
• Sections des fibrés vectoriels sur une courbe
• On topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic

This page was built for publication: Maximum generalized Hasse-Witt invariants and their applications to anabelian geometry