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Ulrich ranks of Veronese varieties and equivariant instantons

2024/05/21 by Faenzi, Daniele, Pretti, Victor Do Valle
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.12574

Abstract

We construct Ulrich bundles on Veronese threefolds of arbitrary degree as generic deformations of symmetric squares of equivariant instanton bundles on the projective space, thus classifying the rank of Ulrich bundles on such varieties and proving a conjecture of Costa and Miró-Roig.

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