Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic

被引：2

作者：

Honigs, Katrina ^{[1
]}

Lombardi, Luigi ^{[2
]}

Tirabassi, Sofia ^{[3
,4
]}

机构：

[1] Univ Oregon, Dept Math, Fenton Hall, Eugene, OR 97403 USA

[2] Univ Milan, Dept Math, Via Cesare Saldini 50, I-20133 Milan, Italy

[3] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden

[4] Univ Bergen, Dept Math, Allegaten 52, Bergen, Norway

来源：

MATHEMATISCHE ZEITSCHRIFT | 2020年 / 295卷 / 1-2期

关键词：

FOURIER-MUKAI PARTNERS; K3; SURFACES; VARIETIES; SHEAVES;

D O I：

10.1007/s00209-019-02362-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any Fourier-Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Gieseker-stable sheaves. We apply this fact to show that the set of Fourier-Mukai partners of a canonical cover of a hyperelliptic or Enriques surface over an algebraically closed field of characteristic greater than three is trivial. These results extend earlier results of Bridgeland-Maciocia and Sosna to positive characteristic.

引用

页码：727 / 749

页数：23

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