A well-known conjecture asserts that smooth threefolds X of the 5-dimensional projective space are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more general statement we obtain the following result, which is related to the previous conjecture: If X is not quadratically normal, then its triple curve is reducible. Similar results are also given for higher dimensional varieties.
On the quadratic normality and the triple curve of three dimensional subvarieties of P^5
DE POI, Pietro;
2010-01-01
Abstract
A well-known conjecture asserts that smooth threefolds X of the 5-dimensional projective space are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more general statement we obtain the following result, which is related to the previous conjecture: If X is not quadratically normal, then its triple curve is reducible. Similar results are also given for higher dimensional varieties.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
DPMS.pdf
non disponibili
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
291.06 kB
Formato
Adobe PDF
|
291.06 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
