Ulrich Bundles on Quartic Surfaces with Picard Number 1

2013/04/02 by Emre Coskun, Coskun, Emre
Mathematics · #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J60

paper · pdf · doi:10.48550/arxiv.1304.0653

Final version. To appear in Comptes Rendus Mathematique

arxiv created 2013/04/02 · arxiv updated 2013/04/03

Abstract

In this note, we prove that there exist stable Ulrich bundles of every even rank on a smooth quartic surface X ⊂ ℙ³ with Picard number 1.

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