Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves

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Authors

  • Andreas Krug

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Original languageEnglish
Article number103600
Number of pages30
JournalJournal des Mathematiques Pures et Appliquees
Volume189
Early online date25 Jul 2024
Publication statusPublished - Sept 2024

Abstract

We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that the tautological bundle determines the isomorphism class of the original vector bundle on the curve. We also give a vanishing result for the push-forward along the Quot--Chow morphism of tensor and wedge products of duals of tautological bundles.

Keywords

    math.AG, Fourier–Mukai transforms, Sheaf cohomology, Tautological bundles, Punctual Quot schemes

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Cite this

Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves. / Krug, Andreas.
In: Journal des Mathematiques Pures et Appliquees, Vol. 189, 103600, 09.2024.

Research output: Contribution to journalArticleResearchpeer review

Krug A. Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves. Journal des Mathematiques Pures et Appliquees. 2024 Sept;189:103600. Epub 2024 Jul 25. doi: 10.48550/arXiv.2305.17124, 10.1016/j.matpur.2024.103600
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