Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

Gianfranco Casnati; Federica Galluzzi

Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

Algebraic Geometry 2016-10-11 v2

Authors: Gianfranco Casnati , Federica Galluzzi

Abstract

Let $F\subseteq\mathbb P ^{a+1}$ be a non-degenerate $K3$ surface of degree $2a$ , where $a\ge2$ . In this paper we deal with Ulrich bundles on $F$ of rank $2$ . We deal with their stability and we construct $K3$ surfaces endowed with families of non-special Ulrich bundles of rank $2$ for each $a\ge2$ .

Keywords

K3 surfaces Ulrich bundles rank 2 bundles stability non-special bundles vector bundle families

Cite

@article{arxiv.1607.05469,
  title  = {Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces},
  author = {Gianfranco Casnati and Federica Galluzzi},
  journal= {arXiv preprint arXiv:1607.05469},
  year   = {2016}
}

Comments

14 pages. Comments welcome. The final version of the article is published in Mathematica Scandinavica

Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

Abstract

Keywords

Cite

Comments

Related papers