CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishLet $X\subset\P^N$ be a smooth variety. The embedding in $\P^n$ gives naturally rise to the notion of embedded tangent spaces. That is the locus spanned by tangent lines to a point $x\in X$. Generally the embedded tangent space intersects the variety $X$ only at the point $x$. In this paper I am interested in those $X$ for which this intersection, for $x\in X$ general, is a positive dimensional subvariety. The results of this paper support the conjecture that these varieties are built out of some special varieties that I call {\sl Tangentially Connected}, see Definition \ref{def:TC}. Actually I prove this under mild restrictions.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Tangential Connection |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| Abstract: | Let $X\subset\P^N$ be a smooth variety. The embedding in $\P^n$ gives naturally rise to the notion of embedded tangent spaces. That is the locus spanned by tangent lines to a point $x\in X$. Generally the embedded tangent space intersects the variety $X$ only at the point $x$. In this paper I am interested in those $X$ for which this intersection, for $x\in X$ general, is a positive dimensional subvariety. The results of this paper support the conjecture that these varieties are built out of some special varieties that I call {\sl Tangentially Connected}, see Definition \ref{def:TC}. Actually I prove this under mild restrictions. |
| Handle: | http://hdl.handle.net/11392/518072 |
| Appare nelle tipologie: | 03.1 Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11392/518072
Copyright © 2020