Ulrich line bundles on Enriques surfaces with a polarization of degree four

被引:0
|
作者
Aprodu M. [1 ,2 ]
Kim Y. [3 ]
机构
[1] Faculty of Mathematics and Computer Science, University of Bucharest, 14 Academiei Street, Bucharest
[2] Simion Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest
[3] Max Planck Institut für Mathematik, Vivatsgasse 7, Bonn
基金
新加坡国家研究基金会;
关键词
Enriques surface; K3; surface; Kummer surface; Macaulay2 computer-algebra system; Ulrich bundle;
D O I
10.1007/s11565-017-0269-z
中图分类号
学科分类号
摘要
In this paper, we prove the existence of an Enriques surface with a polarization of degree four with an Ulrich bundle of rank one. As a consequence, we prove that general polarized Enriques surfaces of degree four, with the same numerical polarization class, carry Ulrich line bundles. © 2017, Università degli Studi di Ferrara.
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页码:9 / 23
页数:14
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