The field of moduli of abelian surfaces with complex multiplication.

Naoki Murabayashi

Displaying similar documents to “The field of moduli of abelian surfaces with complex multiplication.”

Joacobian surfaces in P4.

Herbert Lange (1986)

Journal für die reine und angewandte Mathematik

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The equations of the abelian surfaces embedded in ...4 (...).

Nicolae Manolache (1989)

Journal für die reine und angewandte Mathematik

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Examples of abelian surfaces in P4.

H. Lange, K. Hulek (1985)

Journal für die reine und angewandte Mathematik

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Syzygies of abelian surfaces embedded in ... (...).

Nicolae Manolache (1988)

Journal für die reine und angewandte Mathematik

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On the strange duality conjecture for abelian surfaces

Alina Marian, Dragos Oprea (2014)

Journal of the European Mathematical Society

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We study Le Potier's strange duality conjecture for moduli spaces of sheaves over generic abelian surfaces. We prove the isomorphism for abelian surfaces which are products of elliptic curves, when the moduli spaces consist of sheaves of equal ranks and ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.

Supersingular K 3 surfaces with big Artin invariant.

Tetsuji Shioda (1987)

Journal für die reine und angewandte Mathematik

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The Torelli map at the boundary of the Schottky space.

L. Gerritzen (1990)

Journal für die reine und angewandte Mathematik

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On the Néron models of abelian surfaces with quaternionic multiplication.

Bruce W. Jordan, David R. Morrison (1994)

Journal für die reine und angewandte Mathematik

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The principal degenerations of abelian surfaces and their polarisations.

Steven H. Weintraub, Klaus Hulek (1990)

Mathematische Annalen

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Moduli stacks of polarized K3 surfaces in mixed characteristic

Rizov, Jordan (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...