Curves of given \(p\)-rank with trivial automorphism group

DOI10.1307/mmj/1231770361zbMath1183.14042arXiv0708.2199OpenAlexW1968188190MaRDI QIDQ1001944

Jeffrey D. Achter, Darren Glass, Rachel J. Pries

Publication date: 20 February 2009

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

Full work available at URL: https://arxiv.org/abs/0708.2199

zbMATH Keywords

automorphismdimensionmoduli spacepositive characteristic\(p\)-rank

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Automorphisms of curves (14H37)

Related Items (2)

The \(p\)-rank stratification of Artin-Schreier curves ⋮ The \(p\)-rank strata of the moduli space of hyperelliptic curves

Cites Work

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• Varieties without extra automorphisms. I: Curves
• On the tautological ring of \(\mathcal{M}_ g\)
• Hyperelliptic curves with prescribed \(p\)-torsion
• The singularities of the moduli schemes of curves
• The Moduli of Hyperelliptic Curves
• Monodromy of the p-Rank Strata of the Moduli Space of Curves
• Néron Models
• Complete subvarieties of moduli spaces and the Prym map
• Hyperelliptic curves over 𝔽₂ of every 2-rank without extra automorphisms

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