1和2属曲线雅可比矩阵束上的几何微分方程

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2014-04-09 DOI:10.1090/S0077-1554-2014-00223-5

E. Yu. Netaĭ

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引用次数: 0

摘要

．构造了描述1和2属代数曲线雅可比矩阵束几何的微分方程。对于椭圆曲线，我们给出了与椭圆曲线雅可比矩阵泛束的高斯-曼宁连接相容的等距系数的微分方程。这个度量是用线性微分方程组的解F来定义的

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Geometric differential equations on bundles of Jacobians of curves of genus 1 and 2

. We construct some diﬀerential equations describing the geometry of bundles of Jacobians of algebraic curves of genus 1 and 2. For an elliptic curve we produce diﬀerential equations on the coeﬃcients of a cometric compatible with the Gauss–Manin connection of the universal bundle of Jacobians of elliptic curves. This cometric is deﬁned in terms of a solution F of the linear system of diﬀerential equations

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.