Ulrich ranks of Veronese varieties and equivariant instantons
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.
Authors
- Victor do Valle Pretti (ORCID: https://orcid.org/0000-0002-5269-5137)
- Daniele Faenzi (ORCID: https://orcid.org/0000-0002-4411-0952)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Bourgogne (FR)
- Universidade de São Paulo (BR)
- Institut de Mathématiques de Bordeaux (FR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-03-05
- DOI
- https://doi.org/10.1112/blms.70046
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior