Ulrich Bundles on Enriques Surfaces

TL;DR

This paper investigates Ulrich bundles on unnodal Enriques surfaces, demonstrating their complex moduli spaces and establishing the wild representation type of these surfaces through the construction of large moduli spaces.

Contribution

It proves that unnodal Enriques surfaces are of wild representation type by constructing large moduli spaces of stable Ulrich bundles of arbitrary rank.

Findings

Unnodal Enriques surfaces have wild representation type.

Existence of moduli spaces of stable Ulrich bundles of arbitrary rank.

Moduli spaces can be arbitrarily large in dimension.

Abstract

We study Ulrich bundles and their moduli on unnodal Enriques surfaces. In particular, we prove that unnodal Enriques surfaces are of wild representation type by constructing moduli spaces of stable Ulrich bundles of arbitrary rank and arbitrarily large dimension.