Ulrich bundles on ruled surfaces
Algebraic Geometry
2024-01-17 v1
Abstract
In this short note, we study the existence problem for Ulrich bundles on ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient of the minimal section in the numerical class of the polarization equals one. For other polarizations, we prove the existence of rank two Ulrich bundles.
Keywords
Cite
@article{arxiv.1609.08340,
title = {Ulrich bundles on ruled surfaces},
author = {Marian Aprodu and Laura Costa and Rosa Maria Miro-Roig},
journal= {arXiv preprint arXiv:1609.08340},
year = {2024}
}