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.
引用
收藏
页码:9 / 23
页数:14
相关论文
共 50 条
  • [31] Theta divisors and Ulrich bundles on geometrically ruled surfaces
    Marian Aprodu
    Gianfranco Casnati
    Laura Costa
    Rosa Maria Miró-Roig
    Montserrat Teixidor I Bigas
    Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 : 199 - 216
  • [32] Cohomology of the moduli space of degree two Enriques surfaces
    Fortuna, Mauro
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2023, 24 (02) : 839 - 878
  • [33] Theta divisors and Ulrich bundles on geometrically ruled surfaces
    Aprodu, Marian y
    Casnati, Gianfranco
    Costa, Laura
    Miro-Roig, Rosa Maria
    Bigas, Montserrat Teixidor I.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (01) : 199 - 216
  • [34] Pencils of small degree on curves on unnodal Enriques surfaces
    Rasmussen, Nils Henry
    Zhou, Shengtian
    ADVANCES IN GEOMETRY, 2015, 15 (03) : 281 - 292
  • [35] RANK TWO STABLE ULRICH BUNDLES ON ANTICANONICALLY EMBEDDED SURFACES
    Casnati, Gianfranco
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 95 (01) : 22 - 37
  • [36] SPECIAL RANK-2 VECTOR-BUNDLES OVER ENRIQUES SURFACES
    NAIE, D
    MATHEMATISCHE ANNALEN, 1994, 300 (02) : 297 - 316
  • [37] Koszul property of Ulrich bundles and rationality of moduli spaces of stable bundles on Del Pezzo surfaces
    Bangere, Purnaprajna
    Mukherjee, Jayan
    Raychaudhury, Debaditya
    MANUSCRIPTA MATHEMATICA, 2024, 174 (3-4) : 847 - 874
  • [38] On the classification of non-big Ulrich vector bundles on surfaces and threefolds
    Lopez, Angelo Felice
    Munoz, Roberto
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (14)
  • [39] On the existence of Ulrich vector bundles on some surfaces of maximal Albanese dimension
    Angelo Felice Lopez
    European Journal of Mathematics, 2019, 5 : 958 - 963
  • [40] On the existence of Ulrich vector bundles on some surfaces of maximal Albanese dimension
    Lopez, Angelo Felice
    EUROPEAN JOURNAL OF MATHEMATICS, 2019, 5 (03) : 958 - 963