English

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

Algebraic Geometry 2025-06-24 v1

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.

Keywords

Cite

@article{arxiv.2506.17567,
  title  = {Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle},
  author = {Kota Yoshioka},
  journal= {arXiv preprint arXiv:2506.17567},
  year   = {2025}
}

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12 pages