On the classification of non-big Ulrich vector bundles on fourfolds

Autor: Lopez, Angelo Felice, Muñoz, Roberto, Sierra, José Carlos
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We give an almost complete classification of non-big Ulrich vector bundles on fourfolds. This allows to classify them in the case of Picard rank one fourfolds, of Mukai fourfolds and in the case of Del Pezzo $n$-folds for $n \le 4$. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai $n$-folds, $n \ge 2$.
Comment: The paper arXiv:2201.06019v1 has been split into two papers: arXiv:2201.06019v2 and the current paper. Together they supersede arXiv:2201.06019v1. v2: several changes according to referee's requests. Added two tables at the end of the paper
Databáze: arXiv