Work

Ulrich ranks of Veronese varieties and equivariant instantons

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70046

Authors: Daniele Faenzi, Victor Pretti

Institutions: Centre National de la Recherche Scientifique, Institut de Mathématiques de Bourgogne, Université Bourgogne Europe, Universidade de São Paulo

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior