We introduce the notion of ”sub–defective” varieties as those varieties X for which a general tangent space intersects ”too many” other tangent spaces to X. We show that this notion has an unexpected link with the study of varieties with degenerate osculating behavior. Namely we show that sub-defective surfaces are precisely those surfaces whose general osculating space is bi-osculating.

Bocci, C., & Chiantini, L. (2005). Triple points imposing triple divisors and the defective hierarchy. In Projective varieties with unexpected properties: a volume in memory of Giuseppe Veronese (pp.35-49). De Gruyter.

Triple points imposing triple divisors and the defective hierarchy

BOCCI, CRISTIANO;CHIANTINI, LUCA
2005

Abstract

We introduce the notion of ”sub–defective” varieties as those varieties X for which a general tangent space intersects ”too many” other tangent spaces to X. We show that this notion has an unexpected link with the study of varieties with degenerate osculating behavior. Namely we show that sub-defective surfaces are precisely those surfaces whose general osculating space is bi-osculating.
9783110181609
File in questo prodotto:
File Dimensione Formato  
defhier.pdf

non disponibili

Tipologia: Post-print
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 1.51 MB
Formato Adobe PDF
1.51 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/6123
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo