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Varieties with natural Ulrich bundles

Algebraic Geometry Seminar

Varieties with natural Ulrich bundles
Series: Algebraic Geometry Seminar
Location: MATH 501
Presenter: Debaditya Raychaudhury, Department of Mathematics, University of Arizona
As is well known, it is a conjecture that any smooth variety X in P^N carries an Ulrich vector bundle. Then a natural question arises: consider the bundles N_X^* or T_X naturally associated to X in P^N. When are they Ulrich up to twist? For the first one, we will give an almost complete answer. As for the second one, the problem appears to be more difficult and we will present only some partial results. Work in collaboration with A.F. Lopez, V. Antonelli, and G. Casnati.