Stability of test ideals of divisors with small multiplicity
Stability of test ideals of divisors with small multiplicity
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DOI：
10.1007/s00209-017-1913-0
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发表时间：
2017-08
影响因子：
0.8
通讯作者：
Kenta Sato
中科院分区：
文献类型：
--
作者：
Kenta Sato
设是特征对数对，P是X的一个点（不一定是闭点）。我们证明了存在一个常数，使得测试理想（乘子理想的一个特征参数）在P处不受重数小于的任何因子的扰动。作为应用，我们证明了如果D是强F-正则射影簇上的一个Cartier-因子，则D的非nef轨迹与D的限制基轨迹重合.这是Mustagiola-Di Biagio的一个结果到奇异情形的推广，可以看作是Cacciola-Di Biagio的一个结果的特征性推广。
Letbe a log pair in characteristicandPbe a (not necessarily closed) point ofX. We show that there exists a constantsuch that the test ideal, a characteristicpanalogue of a multiplier ideal, does not change atPunder the perturbation ofby any-divisor with multiplicity less than. As an application, we prove that ifDis an-Cartier-divisor on a stronglyF-regular projective variety, then the non-nef locus ofDcoincides with the restricted base locus ofD. This is a generalization of a result of Mustaţǎ to the singular case and can be viewed as a characteristicpanalogue of a result of Cacciola–Di Biagio.