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

Hyun Kyu Kim, Yun Hwan Kim, Kyoung Seog Lee

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We construct exceptional collections of line bundles of maximal length 4 on S=(C×D)/G which is a surface isogenous to a higher product with pg=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.

Original languageEnglish
Pages (from-to)591-606
Number of pages16
JournalJournal of Algebra
Volume473
DOIs
StatePublished - 1 Mar 2017

Keywords

  • Derived categories
  • Exceptional collections
  • Quasiphantom categories
  • Surfaces isogenous to a higher product

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