Tohoku Mathematical Journal
2025
September
SECOND SERIES VOL. 77, NO. 3

Tohoku Math. J.
77 (2025), 299-317

Title POSITIVITY AND BASE LOCI OF VECTOR BUNDLES REVISITED

Author Mihai Fulger and Nabanita Ray

(Received March 28, 2023, revised June 13, 2023)
Abstract. We give equivalent descriptions for the augmented and diminished base loci of vector bundles. We show that these base loci behave well under pullback, tensor product, and direct sum. Pathological behavior is observed on some nonsplit exact sequences.

Mathematics Subject Classification. Primary 14F06.
Key words and phrases. Vector bundles, positive vector bundle, V-big, augmented base locus, diminished base locus.

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