Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve

DOI10.1016/0022-4049(94)00112-VzbMath0867.14011OpenAlexW2011338007MaRDI QIDQ1903686

Takayuki Oda, Makoto Matsumoto, Mamoru Asada

Publication date: 12 December 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00112-v

zbMATH Keywords

monodromyvanishing cyclesmonodromy representationedge transformationouter automorphisms of the fundamental group of the general curvestable pointed curve

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20)

Related Items (4)

Surface bundles and the section conjecture ⋮ Weight filtrations on Selmer schemes and the effective Chabauty–Kim method ⋮ Monodromies of hyperelliptic families of genus three curves ⋮ Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.

Cites Work

• A note on ramification of the Galois representation on the fundamental group of an algebraic curve. II
• The irreducibility of the space of curves of a given genus
• On the canonical holomorphic map from the Moduli space of stable curves to the Igusa monoidal transform
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Propriétés de ramification à l'infini du groupe modulaire de Teichmüller. With an appendix in English by Ken Baclawski
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