Cubic threefolds and abelian varieties of dimension five. II
Cubic threefolds and abelian varieties of dimension five. II
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立方三重和五维阿贝尔变体。
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发表时间：
2003
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通讯作者：
Sebastian Casalaina
中科院分区：
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作者：
Sebastian Casalaina
本文扩展了与R.弗里德曼表明，封闭的轨迹的中间雅可比光滑三次折叠，在模空间的主要极化阿贝尔品种（ppavs）的维5，是一个不可约的组成部分的轨迹ppavs的θ因子有一个点的重数3或更多。本文还给出了维数小于或等于5的不可分解ppav的θ因子上的点的重数的一个精确界;对于4维和5维，这改进了J. Kollár，R.史密斯河Varley和L.艾因-R拉扎斯菲尔德
This paper extends joint work with R. Friedman to show that the closure of the locus of intermediate Jacobians of smooth cubic threefolds, in the moduli space of principally polarized abelian varieties (ppavs) of dimension five, is an irreducible component of the locus of ppavs whose theta divisor has a point of multiplicity three or more. This paper also gives a sharp bound on the multiplicity of a point on the theta divisor of an indecomposable ppav of dimension less than or equal to 5; for dimensions four and five, this improves the bound due to J. Kollár, R. Smith-R. Varley, and L. Ein-R. Lazarsfeld.