PRYM VARIETIES: THEORY AND APPLICATIONS
PRYM VARIETIES: THEORY AND APPLICATIONS
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PRYM 品种：理论与应用
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
V. Shokurov
中科院分区：
文献类型：
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作者：
V. Shokurov
本文确定了满足一定稳定型条件的Beauville对的主极化Prymian与非奇异曲线的Jacobian同构的条件。作为应用，他指出了新的组件在安德烈-迈耶品种的主要极化阿贝尔品种的尺寸，其θ因子有奇异轨迹的尺寸;他还证明了合理性准则锥束在一个最小的合理表面的中间雅可比。第一部分的文件包含必要的初步材料介绍给读者的现代理论Prym品种。书目：32种。
In this paper the author determines when the principally polarized Prymian of a Beauville pair satisfying a certain stability type condition is isomorphic to the Jacobian of a nonsingular curve. As an application, he points out new components in the Andreotti-Mayer variety of principally polarized abelian varieties of dimension whose theta-divisors have singular locus of dimension ; he also proves a rationality criterion for conic bundles over a minimal rational surface in terms of the intermediate Jacobian. The first part of the paper contains the necessary preliminary material introducing the reader to the modern theory of Prym varieties.Figures: 10. Bibliography: 32 titles.