The Gieseker–Petri theorem and imposed ramification

We prove a smoothness result for spaces of linear series with prescribed ramification on twice‐marked elliptic curves. In characteristic 0, we then apply the Eisenbud–Harris theory of limit linear series to deduce a new proof of the Gieseker–Petri theorem, along with a generalization to spaces of li...

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Veröffentlicht in:	The Bulletin of the London Mathematical Society 2019-12, Vol.51 (6), p.945-960
Hauptverfasser:	Chan, Melody, Osserman, Brian, Pflueger, Nathan
Format:	Artikel
Sprache:	eng
Schlagworte:	14H51 (primary) 14M15 (secondary)
Online-Zugang:	Volltext
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