The Picard group of the moduli stack of stable hyperelliptic curves

DOI10.4171/RLM/483zbMath1222.14054arXivmath/0605531MaRDI QIDQ931287

Maurizio Cornalba

Publication date: 25 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605531

zbMATH Keywords

hyperelliptic curvesPicard groupmoduli

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Picard groups (14C22)

Related Items (5)

Cohomological invariants of root stacks and admissible double coverings ⋮ A complete description of the cohomological invariants of even genus hyperelliptic curves ⋮ Effective divisors on projectivized Hodge bundles and modular Forms ⋮ Picard group of moduli of hyperelliptic curves ⋮ The Picard group of the universal moduli space of vector bundles on stable curves

Cites Work

• Unnamed Item
• A note on families of hyperelliptic curves
• On the Kodaira dimension of the moduli space of curves
• Cornalba-Harris equality for semistable hyperelliptic curves in positive characteristics
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• Stacks of cyclic covers of projective spaces

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