Real fibered morphisms and Ulrich sheaves

Real fibered morphisms and Ulrich sheaves
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实纤维态射和乌尔里希滑轮

DOI:
10.1090/jag/735
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发表时间:
2015
影响因子:
1.8
通讯作者:
E. Shamovich
E. Shamovich
中科院分区:
数学1区
文献类型:
--
作者:
Mario Kummer;E. Shamovich

文献摘要

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本文定义并研究了实纤维态射。这种态射出现在实双曲超曲面的研究中。 P D \mathbb{P}^d 和其他双曲线品种。我们证明了实纤维态射与允许正定对称双线性形式的Ulrich层紧密相连。
In this paper, we define and study real fibered morphisms. Such morphisms arise in the study of real hyperbolic hypersurfaces in P d \mathbb {P}^d and other hyperbolic varieties. We show that real fibered morphisms are intimately connected to Ulrich sheaves admitting positive definite symmetric bilinear forms.