Degenerating families with finite monodromy groups

DOI10.2996/kmj44101zbMath1466.14014OpenAlexW3164407219MaRDI QIDQ2040158

Takayuki Okuda

Publication date: 12 July 2021

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj44101

zbMATH Keywords

monodromymapping class groupquotient singularityholomorphic fibrationdegeneration of Riemann surfacesquotient family

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli of curves (analytic) (14H15)

Cites Work

• Pseudo-periodic maps and degeneration of Riemann surfaces
• Isotrivial fibred surfaces
• Families of Riemann surfaces over the punctured disk
• On the Maskit coordinates of Teichmüller spaces and modular transformations
• Splitting deformations of degenerations of complex curves. Towards the classification of atoms of degenerations. III.
• Introduction to Singularities
• Invariants of Finite Groups Generated by Reflections
• The Nielsen realization problem
• Local splitting families of hyperelliptic pencils. I
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