Stable vector bundles on the families of curves

Fedor A. Bogomolov; Elena Lukzen

doi:10.1007/s40879-021-00527-z

Stable vector bundles on the families of curves

Fedor A. Bogomolov, Elena Lukzen

Mathematics

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

Abstract

We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

Original language	English (US)
Pages (from-to)	540-550
Number of pages	11
Journal	European Journal of Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/s40879-021-00527-z
State	Published - Jun 2022

Keywords

Families of curves
Stability
Vector bundle

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-021-00527-z

Cite this

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title = "Stable vector bundles on the families of curves",

abstract = "We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.",

keywords = "Families of curves, Stability, Vector bundle",

author = "Bogomolov, {Fedor A.} and Elena Lukzen",

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AU - Bogomolov, Fedor A.

AU - Lukzen, Elena

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AB - We offer a new approach to proving the Chen–Donaldson–Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

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KW - Stability

KW - Vector bundle

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JO - European Journal of Mathematics

JF - European Journal of Mathematics

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Stable vector bundles on the families of curves

Abstract

Keywords

ASJC Scopus subject areas

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