Existence of Ulrich Bundle on general Surfaces

Suratno Basu; Sarbeswar Pal

Existence of Ulrich Bundle on general Surfaces

Algebraic Geometry 2022-05-03 v2

Authors: Suratno Basu , Sarbeswar Pal

Abstract

Let $X$ be a smooth projective algebraic surface of Picard rank one with very ample canonical bundle $K_X$ . We further assume that $q -1 \le \chi(\mathcal{O}_X$ . In this article, we will study the existence of the Ulrich bundle and its stability property of it with respect to $K_X$ .

Keywords

vector bundles nef and ample line bundles del pezzo surfaces

Cite

@article{arxiv.2201.12734,
  title  = {Existence of Ulrich Bundle on general Surfaces},
  author = {Suratno Basu and Sarbeswar Pal},
  journal= {arXiv preprint arXiv:2201.12734},
  year   = {2022}
}

Comments

Revised version. Lemma 4.1 and Proposition 4.3 has been rewritten

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