Derived categories of surfaces isogenous to a higher product

TL;DR

This paper constructs maximal-length exceptional sequences of line bundles on a specific family of algebraic surfaces with certain geometric properties, advancing the understanding of their derived categories.

Contribution

It introduces explicit exceptional sequences on surfaces isogenous to a higher product with p_g=q=0, expanding the known examples in derived category theory.

Findings

Constructed exceptional sequences of maximal length

Focused on surfaces with p_g=q=0

Enhanced understanding of derived categories for these surfaces

Abstract

We construct exceptional sequences of line bundles of maximal length on a family of surfaces isogenous to a higher product of unmixed type with $p_g=q=0$.