English

On the correspondence between Ulrich bundles and curves on surfaces

Algebraic Geometry 2025-10-16 v1

Abstract

This work provides a curve-based approach to Ulrich bundles on surfaces, establishing a correspondence that characterizes their existence, with a focus on applications to surfaces in P3\mathbb{P}^3.

Keywords

Cite

@article{arxiv.2510.13455,
  title  = {On the correspondence between Ulrich bundles and curves on surfaces},
  author = {Sofia Bordoni},
  journal= {arXiv preprint arXiv:2510.13455},
  year   = {2025}
}

Comments

16 pages, preprint