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

2022/05/20 by Angelo Felice Lopez, Lopez, Angelo Felice, Roberto Muñoz +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2205.10143

openalex publication_date 2022/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ≤ 4. We also classify Ulrich bundles with non-big determinant on Del Pezzo and Mukai n-folds, n ≥ 2.

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