2025/11/14 by Mukherjee, Anindya, Pabitra Barik, Barik, Pabitra
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2511.11001
Let X be a smooth projective variety carrying an Ulrich bundle. In the first part of this note, we construct an Ulrich sheaf on n-th symmetric power of X, which is a singular variety when DimX >1. As a consequence, we get the existence of an Ulrich bundle on HillbnC, where C is a smooth projective curve. Let A be an abelian variety which carries an Ulrich bundle. In the second part of this note, we show the existence of Ulrich bundle on the blow up of A × A along A × \0\.