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Algebra & Combinatorics Seminar

Title: Ulrich subvarieties and non-existence of low rank Ulrich bundles on complete intersections
Speaker: Debaditya Raychaudhury (University of Arizona, Tucson, USA)
Date: 05 June 2024
Time: 2 pm
Venue: LH-1, Mathematics Department

We characterize the existence of an Ulrich vector bundle on a variety $X\subset{\bf P}^N$ in terms of the existence of a subvariety satisfying certain conditions. Then we use this fact to prove that $(X,\mathcal{O}_X(a))$ where $X$ is a complete intersection of dimension $n\geq 4$, which if n = 4, is either ${\bf P}^4$ with $a\geq 2$, or very general with $a\geq 1$ and not of type (2), (2, 2), does not carry any Ulrich bundles of rank $r\leq 3$. Work in collaboration with A.F. Lopez.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 19 Jun 2024