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arXiv · 1511.02139

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

Hyun Kyu Kim·Yun-Hwan Kim·Kyoung-Seog Lee
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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.

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Hyun Kyu Kim, Yun-Hwan Kim, Kyoung-Seog Lee. 2015-11-06. Quasiphantom categories on a family of surfaces isogenous to a higher product. https://doi.org/10.1016/j.jalgebra.2016.11.020

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