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Peer-reviewedCC BYJournal of the London Mathematical Society

On the Quot scheme QuotSl(E)

  1. 1Imperial College London UK

Abstract

We study the geometry of the Quot scheme of length coherent sheaf quotients of a locally free sheaf on a smooth projective surface . In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on .

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BibTeX
@article{stark2026quot,
  title = {{On the Quot scheme QuotSl(E)}},
  author = {Samuel Stark},
  journal = {Journal of the London Mathematical Society},
  year = {2026},
  month = jun,
  doi = {10.1112/jlms.70586},
  url = {https://doi.org/10.1112/jlms.70586},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - On the Quot scheme QuotSl(E)
AU  - Samuel Stark
PY  - 2026
DA  - 2026/06/01
JO  - Journal of the London Mathematical Society
DO  - 10.1112/jlms.70586
UR  - https://doi.org/10.1112/jlms.70586
AB  - We study the geometry of the Quot scheme of length coherent sheaf quotients of a locally free sheaf on a smooth projective surface . In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on .
SN  - 0024-6107
SN  - 1469-7750
ER  -