About the adjunction process for polarized algebraic surfaces.

About the adjunction process for polarized algebraic surfaces.
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关于极化代数曲面的附加过程。

DOI:
10.1515/crll.1984.352.15
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发表时间:
1984
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
A. Lanteri
A. Lanteri
中科院分区:
--
文献类型:
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作者:
M. Palleschi;A. Lanteri

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为了解决前一个问题,我们首先研究了KS + H (Th. 2.1)的自交指标。仅这一点就能使我们描述某些类型的极化表面(第2章)。林前2:2;3、2。4) äs好吧äs在更广泛的样本除数的背景下恢复一些经典结果。2. but…结合Mori的极限射线理论的一些论点是得到我们的主要结果的关键(第2章)。5)描述k + H不充足的极化表面。
To deal with the former problem, at first we study the self-intersection index of KS + H (Th. 2.1). This alone enables us to characterize some classes of polarized surfaces (Th. 2. 2 and Cor. 2. 3, 2. 4) äs well äs to recover some classical results in the wider context of ample divisors. Moreover Th. 2. l jointly with some arguments from Mori's theory of extremal rays is the key for obtaining our main result (Th. 2. 5) describing the polarized surfaces on which Ks + H fails to be ample.