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

Abstract

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.