References & Citations
Mathematics > Algebraic Geometry
Title: Syzygy Theoretic Approach to Horrocks-type Criteria for Vector Bundles
(Submitted on 26 Mar 2024)
Abstract: This paper studies a variant of Horrocks criteria for vector bundles mainly through a syzygy theoretic approach. In this spirit we begin with describing various proofs of the splitting criteria for ACM and Buchsbaum bundles, giving new sights of the structure theorem. Our main result gives a structure theorem of quasi-Buchsbaum bundles on ${\mathbb P}^n$, which characterizes the null-correlation bundle. Also, the quasi-Buchsbaum bundles on ${\mathbb P}^3$ with simple cohomologies are classified in terms of standard system of parameters.
Submission history
From: Chikashi Miyazaki PhD [view email][v1] Tue, 26 Mar 2024 11:58:29 GMT (21kb)
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