Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties

Valerio Buttinelli; Angelo Felice Lopez; Roberto Vacca

Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties

Algebraic Geometry 2026-04-28 v1

Authors: Valerio Buttinelli , Angelo Felice Lopez , Roberto Vacca

Abstract

We give an almost complete classification of Ulrich bundles $\mathcal E$ with $c_2(\mathcal E)^2=0$ on a variety $X$ of dimension $n \ge 4$ . Moreover, we show that there are strong constraints on the geometry of $X$ and we study disconnected Ulrich subvarieties.

Keywords

Ulrich bundles Algebraic Geometry Characteristic Classes Subvarieties Classification

Cite

@article{arxiv.2604.22978,
  title  = {Ulrich bundles with $c_2(\mathcal E)^2=0$ and connectedness of Ulrich subvarieties},
  author = {Valerio Buttinelli and Angelo Felice Lopez and Roberto Vacca},
  journal= {arXiv preprint arXiv:2604.22978},
  year   = {2026}
}

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