Ramification and discriminants of vector bundles and a quick proof of Bogomolov’s theorem

Hirotachi Abo; Robert Lazarsfeld; Gregory G. Smith

doi:10.13137/2464-8728/33882

Ramification and discriminants of vector bundles and a quick proof of Bogomolov’s theorem

Hirotachi Abo
, Robert Lazarsfeld
, Gregory G. Smith

Mathematics

University of Idaho
Queen's University Kingston

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.

Original language	English
Article number	6
Journal	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume	54
DOIs	https://doi.org/10.13137/2464-8728/33882
State	Published - 2022

Keywords

Degeneracy loci
Discriminant
Instability
Vector bundles

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10.13137/2464-8728/33882

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title = "Ramification and discriminants of vector bundles and a quick proof of Bogomolov{\textquoteright}s theorem",

abstract = "By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.",

keywords = "Degeneracy loci, Discriminant, Instability, Vector bundles",

author = "Hirotachi Abo and Robert Lazarsfeld and Smith, \{Gregory G.\}",

year = "2022",

doi = "10.13137/2464-8728/33882",

language = "English",

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journal = "Rendiconti dell'Istituto di Matematica dell'Universita di Trieste",

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T1 - Ramification and discriminants of vector bundles and a quick proof of Bogomolov’s theorem

AU - Abo, Hirotachi

AU - Lazarsfeld, Robert

AU - Smith, Gregory G.

PY - 2022

Y1 - 2022

N2 - By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.

AB - By analyzing degeneracy loci over projectivized vector bundles, we recompute the degree of the discriminant locus of a vector bundle and provide a new proof of the Bogomolov instability theorem.

KW - Degeneracy loci

KW - Discriminant

KW - Instability

KW - Vector bundles

UR - https://www.scopus.com/pages/publications/85141809996

U2 - 10.13137/2464-8728/33882

DO - 10.13137/2464-8728/33882

M3 - Article

AN - SCOPUS:85141809996

SN - 0049-4704

VL - 54

JO - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

JF - Rendiconti dell'Istituto di Matematica dell'Universita di Trieste

M1 - 6

ER -

Ramification and discriminants of vector bundles and a quick proof of Bogomolov’s theorem

Abstract

Keywords

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