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PreprintCC BY 4.0arXiv

Fourier-Mukai transforms by a family of stable sheaves and preservation of stability

  • Kota Yoshioka
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Abstract

For a Fourier-Mukai transform whose kernel is a family of Gieseker stable sheaves, we shall give a condition for the preservation of Gieseker stability of sheaves.

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Cite

BibTeXRIS
BibTeX
@misc{yoshioka2026fouriermukai,
  title = {{Fourier-Mukai transforms by a family of stable sheaves and preservation of stability}},
  author = {Kota Yoshioka},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19449},
  eprint = {2610.19449},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19449},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Fourier-Mukai transforms by a family of stable sheaves and preservation of stability
AU  - Kota Yoshioka
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.19449
UR  - https://arxiv.org/abs/2610.19449
AB  - For a Fourier-Mukai transform whose kernel is a family of Gieseker stable sheaves, we shall give a condition for the preservation of Gieseker stability of sheaves.
ER  -