Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

Abstract

Let $F\subseteq {\mathbb{P}}^{a+1}$ be a non-degenerate $K3$ surface of degree $2a$, where $a\ge 2$. 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 $a\ge 2$.

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

References in corpus (1)

• ACM bundles on K3 surfaces of genus 2