Curves with prescribed symmetry and associated representations of mapping class groups

DOI10.1007/s00208-021-02234-2zbMath1491.14045arXiv1811.09741OpenAlexW3186714715MaRDI QIDQ832490

Marco Boggi, Eduard Looijenga

Publication date: 25 March 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09741

zbMATH Keywords

moduli of curvesautomorphisms of curves and Jacobians

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Jacobians, Prym varieties (14H40) Group actions on manifolds and cell complexes in low dimensions (57M60) Automorphisms of curves (14H37)

Related Items (3)

Applications of the algebraic geometry of the Putman–Wieland conjecture ⋮ An introduction to the algebraic geometry of the Putman-Wieland conjecture ⋮ Homological representations of low genus mapping class groups

Cites Work

• Monodromy of cyclic coverings of the projective line
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• Classification of non-rigid families of abelian varieties
• Irreducible components of special loci in moduli spaces of curves, Galois action in general genus
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• Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
• Hodge classes on abelian varieties of low dimension
• Simple closed curves, finite covers of surfaces, and power subgroups of \(\mathrm{Out}(F_n)\)
• Quotients of surface groups and homology of finite covers via quantum representations
• Théorie de Hodge. II. (Hodge theory. II)
• Abelian quotients of subgroups of the mapping class group and higher Prym representations
• Deformation theory from the point of view of fibered categories
• Endomorfismi di jacobiane
• The endomorphism rings of jacobians of cyclic covers of the projective line
• Abelian varieties with group action
• Deforming a Canonical Curve Inside a Quadric
• Hodge classes on certain hyperelliptic prymians
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