Successive minima of line bundles
Successive minima of line bundles
复制标题
线束的连续最小值
DOI：
10.1016/j.aim.2020.107045
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发表时间：
2020
影响因子：
1.7
通讯作者：
Ito Atsushi
中科院分区：
文献类型：
--
作者：
Ambro Florin;Ito Atsushi
我们引入并研究了适当代数变量上线束的连续极小值。第一个问题。最后一个最小值是宽度。Seshadri常数)在非常一般的点的线束。线束的体积等于连续最小值的乘积。对于环上的线束，其连续极小值等价于矩多面体之差的通常连续极小值的倒数。
We introduce and study the successive minima of line bundles on proper algebraic varieties. The first (resp. last) minima are the width (resp. Seshadri constant) of the line bundle at very general points. The volume of the line bundle is equivalent to the product of the successive minima. For line bundles on toric varieties, the successive minima are equivalent to the (reciprocal of) usual successive minima of the difference of the moment polytope.