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Ulrich bundles of arbitrary rank on Segre-Veronese varieties

Authors :
Malaspina, Francesco
Publication Year :
2023

Abstract

We generalize the results by Eisenbud and Schreyer about Ulrich bundles over Veronese varieties to Segre-Veronese varieties. We discuss the range where we have natural cohomology and we construct multigraded resolutions and monads for Ulrich bundles of any rank. Moreover we give cohomological characterizations for significant families of bundles.<br />Comment: 18 pages, the final version will appear on J. of Algebra

Subjects

Subjects :
Mathematics - Algebraic Geometry

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2303.11113
Document Type :
Working Paper