On the Jacobian locus in the Prym locus and geodesics

DOI10.1515/advgeom-2021-0037zbMath1492.14052arXiv2001.02113OpenAlexW2999231150MaRDI QIDQ2157803

Sara Torelli

Publication date: 22 July 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02113

zbMATH Keywords

geodesicsPrym locusadmissible coveringsgeneralized Prym varietiesJacobian locusmoduli space of curves and abelian varieties

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Period matrices, variation of Hodge structure; degenerations (32G20) Jacobians, Prym varieties (14H40) Subvarieties of abelian varieties (14K12) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Families, moduli of curves (analytic) (14H15)

Cites Work

• Prym varieties and Schottky problem
• The sheaf of relative canonical forms of a Kähler fiber space over a curve
• On the Kodaira dimension of the moduli space of curves
• On some differential-geometric aspects of the Torelli map
• On the closure of the Hodge locus of positive period dimension
• Massey products and Fujita decompositions on fibrations of curves
• Linear Series on Semistable Curves
• PRYM VARIETIES: THEORY AND APPLICATIONS
• Answer to a question by Fujita on Variation of Hodge Structures
• Prym varieties and their moduli
• Families of curves with Higgs field of arbitrarily large kernel
• Totally geodesic subvarieties in the moduli space of curves
• On the rank of the flat unitary summand of the Hodge bundle
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