Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Andreas Krug

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OriginalspracheEnglisch
Aufsatznummer103600
Seitenumfang30
FachzeitschriftJournal des Mathematiques Pures et Appliquees
Jahrgang189
Frühes Online-Datum25 Juli 2024
PublikationsstatusVeröffentlicht - 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.

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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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