The existence of a one parameter family of trisecants to the Kummer variety of an indecomposable principally polarized abelian varietiy characterizes Jacobians. This result was first proved by Gunning in under additional hypotheses. Then Welters removed the additional hypotheses and considered the degenerate cases. In this note we provide a short geometrical argument for the inflectionary case
Marini, G. (1999). A geometrical argument for a theorem of G. E. Welters. MATHEMATISCHE ZEITSCHRIFT, 232(3), 505-509.
A geometrical argument for a theorem of G. E. Welters
MARINI, GIAMBATTISTA
1999-01-01
Abstract
The existence of a one parameter family of trisecants to the Kummer variety of an indecomposable principally polarized abelian varietiy characterizes Jacobians. This result was first proved by Gunning in under additional hypotheses. Then Welters removed the additional hypotheses and considered the degenerate cases. In this note we provide a short geometrical argument for the inflectionary caseFile in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
A geometrical argument for a theorem of G. E. Welters.pdf
accesso aperto
Descrizione: Articolo
Dimensione
67.21 kB
Formato
Adobe PDF
|
67.21 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
