Quasiphantom categories on a family of surfaces isogenous to a higher product

JOURNAL OF ALGEBRA

卷:473

Article

Kim, Hyun Kyu¹  Kim, Yun-Hwan²  Lee, Kyoung-Seog³ 

[1] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea

[2] Seoul Natl Univ, Dept Math Sci, GwanAkRo 1, Seoul 08826, South Korea

[3] Inst for Basic Sci Korea, Ctr Geometry & Phys, Pohang 37673, South Korea

关键词: Derived categories;    Exceptional collections;    Surfaces isogenous to a higher product;    Quasiphantom categories;   

DOI  :  10.1016/j.jalgebra.2016.11.020

来源: Elsevier

【 摘 要 】

We construct exceptional collections of line bundles of maximal length 4 on S = (C x D)/G which is a surface isogenous to a higher product with p(g) = q = 0 where G= G(32, 27) is a finite group of order 32 having number 27 in the list of Magma library. From these exceptional collections, we obtain new examples of quasiphantom categories as their orthogonal complements. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free