Stability of Rank 2 Ulrich Bundles on Projective K3 Surfaces

Autor:	Casnati, Gianfranco, Galluzzi, Federica
Rok vydání:	2016
Předmět:	Mathematics - Algebraic Geometry 14J60 14J45
Druh dokumentu:	Working Paper
Popis:	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 $a\ge2$. Comment: 14 pages. Comments welcome. The final version of the article is published in Mathematica Scandinavica
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.05469 Zobrazit plný text záznamu View this record from Arxiv