On varieties with Ulrich twisted conormal bundles

Author:

Vincenzo Antonelli, Gianfranco Casnati, Angelo Felice Lopez, Debaditya Raychaudhury

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-05-30 16:00:00

Abstract

We study varieties $X \subset P^r$ such that is $N_X^*(k)$ is an Ulrich vector bundle for some integer $k$. We first prove that such an $X$ must be a curve. Then we give several examples of curves with $N_X^*(k)$ an Ulrich vector bundle.

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