A special case of the Garnier system, $(1, 4)$-polarized abelian surfaces and their moduli

Pol Vanhaecke

Displaying similar documents to “A special case of the Garnier system, $(1, 4)$ -polarized abelian surfaces and their moduli”

Equations defining reducible Kummer surfaces in ℙ⁵

Tomasz Szemberg (1996)

Annales Polonici Mathematici

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Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these...

Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe.

Maisner, Daniel, Nart, Enric (2002)

Experimental Mathematics

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Geodesic flow on , Kac-Moody Lie algebra and singularities in the complex t-plane.

Ahmed Lesfari (1999)

Publicacions Matemàtiques

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The article studies geometrically the Euler-Arnold equations associatedto geodesic flow on for a left invariant diagonal metric. Such metric were first introduced by Manakov [17] and extensively studied by Mishchenko-Fomenko [18] and Dikii [6]. An essential contribution into the integrability of this problem was also made by Adler-van Moerbeke [4] and Haine [8]. In this problem there are four invariants of the motion defining in C = Lie( ⊗ C) an affine Abelian surface as complete intersection...

Families of supersingular abelian surfaces

Toshiyuki Katsura, Frans Oort (1987)

Compositio Mathematica

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Abelian surfaces and Kowalewski's top

A. Lesfari (1988)

Annales scientifiques de l'École Normale Supérieure

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The complex geometry of an integrable system

Ahmed Lesfari (2003)

Archivum Mathematicum

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In this paper, a finite dimensional algebraic completely integrable system is considered. We show that the intersection of levels of integrals completes into an abelian surface (a two dimensional complex algebraic torus) of polarization $(2, 8)$ and that the flow of the system can be linearized on it.

Displaying similar documents to “A special case of the Garnier system, ( 1 , 4 ) -polarized abelian surfaces and their moduli”

Equations defining reducible Kummer surfaces in ℙ⁵

Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe.

Geodesic flow on , Kac-Moody Lie algebra and singularities in the complex t-plane.

Families of supersingular abelian surfaces

Abelian surfaces and Kowalewski's top

The complex geometry of an integrable system

Displaying similar documents to “A special case of the Garnier system, $(1, 4)$ -polarized abelian surfaces and their moduli”