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 $S=(C\times D)/G$ 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.

18 pages; v2 reflects the revision made during the journal publication process

References in corpus (3)

• Hochschild homology and semiorthogonal decompositions
• Exceptional collections on Dolgachev surfaces associated with degenerations
• A vanishing theorem on fake projective planes with enough automorphisms

Cited by in corpus (1)

• Fano visitors, Fano dimension and orbifold Fano hosts