Stability and applications

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

Autoren

  • Emanuele Macrì
  • Benjamin Schmidt

Organisationseinheiten

Externe Organisationen

  • Universität Paris-Saclay
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)671-702
Seitenumfang32
FachzeitschriftPure and Applied Mathematics Quarterly
Jahrgang17
Ausgabenummer2
PublikationsstatusVeröffentlicht - 12 Mai 2021

Abstract

We give a brief overview of Bridgeland’s theory of stability conditions, focusing on applications to algebraic geometry. We sketch the basic ideas in Bayer’s proof of the Brill–Noether Theorem and in the authors’ proof of a theorem by Gruson–Peskine and Harris on the genus of space curves. This note originated from the lecture of the first author at the conference From Algebraic Geometry to Vision and AI: A Symposium Celebrating the Mathematical Work of David Mumford, held at the Center of Mathematical Sciences and Applications, Harvard University, August 18–20, 2018.

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Stability and applications. / Macrì, Emanuele; Schmidt, Benjamin.
in: Pure and Applied Mathematics Quarterly, Jahrgang 17, Nr. 2, 12.05.2021, S. 671-702.

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

Macrì E, Schmidt B. Stability and applications. Pure and Applied Mathematics Quarterly. 2021 Mai 12;17(2):671-702. doi: 10.4310/PAMQ.2021.v17.n2.a5
Macrì, Emanuele ; Schmidt, Benjamin. / Stability and applications. in: Pure and Applied Mathematics Quarterly. 2021 ; Jahrgang 17, Nr. 2. S. 671-702.
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