On the projective normality of Ulrich bundles on some low-dimensional varieties

Valerio Buttinelli

On the projective normality of Ulrich bundles on some low-dimensional varieties

Algebraic Geometry 2024-12-23 v1

Authors: Valerio Buttinelli

Abstract

We study the projective normality of the projective bundle of an Ulrich vector bundle embedded through the complete linear system of its tautological line bundle. The focus will be on Ulrich bundles defined over curves, surfaces with $q=p_g=0$ and hypersurfaces of dimension $2$ and $3.$

Keywords

Ulrich bundles projective normality projective bundle tautological line bundle curves surfaces hypersurfaces

Cite

@article{arxiv.2412.15686,
  title  = {On the projective normality of Ulrich bundles on some low-dimensional varieties},
  author = {Valerio Buttinelli},
  journal= {arXiv preprint arXiv:2412.15686},
  year   = {2024}
}

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