Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle

For a Fourier-Mukai transform whose kernel is the Poincare line bundle, we study the preservation of Gieseker stability of sheaves on any abelian surface.

Publication Details

Journal
ArXiv.org
Published
2025-06-21
Primary Topic
Gestational Diabetes Research and Management
Type
article
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article

Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle

ArXiv.org
Gestational Diabetes Research and Management
article

Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle

article en

Abstract

For a Fourier-Mukai transform whose kernel is the Poincare line bundle, we study the preservation of Gieseker stability of sheaves on any abelian surface.

ArXiv.org
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Gestational Diabetes Research and Management
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Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle · ArXiv.org (2025) | TGRS Research Map | TGRS