Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

2016/07/19 by Gianfranco Casnati, Casnati, Gianfranco, Federica Galluzzi +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1607.05469

Abstract

Let F⊆\mathbb P ^a+1 be a non-degenerate K3 surface of degree 2a, where a≥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≥2.

Cited by

• On the correspondence between Ulrich bundles and curves on surfaces
• Ulrich bundles on non-special surfaces with p_g=0 and q=1

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