Positivity and base loci for vector bundles revisited

2023/03/23 by Mihai Fulger, Fulger, Mihai, Nabanita Ray +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #14F06 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Endoplasmic Reticulum Stress and Disease #FOS: Mathematics #Microtubule and mitosis dynamics

paper · pdf · doi:10.48550/arxiv.2303.13201

openalex publication_date 2023/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give equivalent descriptions for the augmented and diminished base loci of vector bundles in characteristic zero. We show that these base loci behave well under pullback, tensor product, and direct sum. Pathological behavior is observed on some nonsplit exact sequences.

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