On the Kodaira dimension of moduli spaces of abelian surfaces

Kieran G. O'Grady

Displaying similar documents to “On the Kodaira dimension of moduli spaces of abelian surfaces”

Curves with only triple ramification

Stefan Schröer (2003)

Annales de l'Institut Fourier

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We show that the set of smooth curves of genus $g \geq 0$ admitting a branched covering $X \to ℙ^{1}$ with only triple ramification points is of dimension at least $max (2 g - 3, g)$ . In characteristic two, such curves have tame rational functions and an analog of Belyi’s Theorem applies to them.

Curves of genus ten on K3 surfaces

Fernando Cukierman, Douglas Ulmer (1993)

Compositio Mathematica

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A remark on the Picard group of spin moduli space

Maurizio Cornalba (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.

On the geometry of moduli of curves and line bundles

Claudio Fontanari (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Here we focus on the geometry of ${\bar{P}}_{d, g}$ , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into ${\bar{P}}_{d, g}$ and we give generators and relations of the rational Picard group of ${\bar{P}}_{d, g}$ , extending previous work by A. Kouvidakis.

Prym varieties and the canonical map of surfaces of general type

Ciro Ciliberto, Rita Pardini, Francesca Tovena (2000)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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