VOLUMES OF LINE BUNDLES AS LIMITS ON GENERICALLY NONREDUCED SCHEMES

VOLUMES OF LINE BUNDLES AS LIMITS ON GENERICALLY NONREDUCED SCHEMES
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线束体积作为一般非简化方案的限制

DOI:
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发表时间:
2020
影响因子:
0.8
通讯作者:
R. Núñez
R. Núñez
中科院分区:
数学4区
文献类型:
--
作者:
R. Núñez

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线丛的体积是用一个线丛来定义的。这个limsup是否是一个极限是一个基本问题。它已被证明,这总是一般减少计划的情况下。我们表明,卷是限制在两类计划,不一定是一般减少:余维一子计划的投影品种,使其组件的最大尺寸包含正常点和投影计划的nilradical平方等于零。
The volume of a line bundle is defined in terms of a limsup. It is a fundamental question whether this limsup is a limit. It has been shown that this is always the case on generically reduced schemes. We show that volumes are limits in two classes of schemes that are not necessarily generically reduced: codimension one subschemes of projective varieties such that their components of maximal dimension contain normal points and projective schemes whose nilradical squared equals zero.
DOI: 10.1090/proc/15526
发表时间: 2021
影响因子: 1
作者:
Cutkosky, Steven;Núñez, Roberto
通讯作者: Núñez, Roberto