Stability of tautological bundles on symmetric products of curves

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Andreas Krug

Externe Organisationen

  • Philipps-Universität Marburg
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Details

OriginalspracheEnglisch
Seiten (von - bis)1785-1800
Seitenumfang16
FachzeitschriftMathematical research letters
Jahrgang27
Ausgabenummer6
PublikationsstatusVeröffentlicht - 2020
Extern publiziertJa

Abstract

We prove that, if C is a smooth projective curve over the complex numbers, and E is a stable vector bundle on C whose slope does not lie in the interval [-1, n - 1], then the associated tautological bundle E[n] on the symmetric product C(n) is again stable. Also, if E is semi-stable and its slope does not lie in (-1, n - 1), then E[n] is semi-stable.

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Stability of tautological bundles on symmetric products of curves. / Krug, Andreas.
in: Mathematical research letters, Jahrgang 27, Nr. 6, 2020, S. 1785-1800.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Krug A. Stability of tautological bundles on symmetric products of curves. Mathematical research letters. 2020;27(6):1785-1800. doi: 10.48550/arXiv.1809.06450, 10.4310/MRL.2020.V27.N6.A9
Krug, Andreas. / Stability of tautological bundles on symmetric products of curves. in: Mathematical research letters. 2020 ; Jahrgang 27, Nr. 6. S. 1785-1800.
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