In an article of 1967 Edge gave a description of some beautiful geometric properties of the Kummer surface complete intersection of three quadrics in P^5. Working on it, Dye proved in 1982 and 1992 that all its osculating spaces have dimension less than the expected 5. Here we discuss these results, also in the light of some recent result about varieties with hypo-osculating behaviour.
Osculating behavior of the Kummer surface in P5
Emilia Mezzetti
2018-01-01
Abstract
In an article of 1967 Edge gave a description of some beautiful geometric properties of the Kummer surface complete intersection of three quadrics in P^5. Working on it, Dye proved in 1982 and 1992 that all its osculating spaces have dimension less than the expected 5. Here we discuss these results, also in the light of some recent result about varieties with hypo-osculating behaviour.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Mezzetti_Kummer_final2.pdf
Open Access dal 25/10/2018
Descrizione: Articolo principale
Tipologia:
Bozza finale post-referaggio (post-print)
Licenza:
Copyright Editore
Dimensione
215.78 kB
Formato
Adobe PDF
|
215.78 kB | Adobe PDF | Visualizza/Apri |
mezzetti2017.pdf
Accesso chiuso
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright Editore
Dimensione
371.28 kB
Formato
Adobe PDF
|
371.28 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.