Local positivity of principally polarized abelian threefolds

Local positivity of principally polarized abelian threefolds
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主要极化阿贝尔三重的局部正性

DOI:
10.1515/crll.2001.014
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发表时间:
2001
期刊:
Crelle's Journal
影响因子:
--
通讯作者:
T. Szemberg
T. Szemberg
中科院分区:
--
文献类型:
--
作者:
Thomas Bauer;T. Szemberg

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近年来,人们对代数变量上充足线束的局部正性的研究产生了浓厚的兴趣。由Demailly[4]引入的Seshadri常数作为线束局部正性的自然度量而出现。这些不变量很难控制,只有在极少数情况下才知道它们的确切值。设X是维数n的光滑投影变换,设L是X上的一个充足的线束,然后求实数
In recent years there has been considerable interest in understanding the local positivity of ample line bundles on algebraic varieties. Seshadri constants, introduced by Demailly [4], emerged as a natural measure of the local positivity of a line bundle. These invariants are very hard to control and their exact value is known only in very few cases. Let X be a smooth projective variety of dimension n, and let L an ample line bundle on X. Then the real number