Titre: Interpolation for Normal Bundles of General Curves (Memoirs of the American Mathematical Society)
�diteur: Amer Mathematical Society (edition )
Langue: anglais
ISBN � 10 chiffres: 147043489X
ISBN � 13 chiffres: 9781470434892
Reliure: Paperback
�tat de l'article: Very Good

A propos de ce titre

Synopsis

Given $n$ general points $p_1, p_2, \ldots , p_n \in \mathbb P^r$, it is natural to ask when there exists a curve $C \subset \mathbb P^r$, of degree $d$ and genus $g$, passing through $p_1, p_2, \ldots , p_n$. In this paper, the authors give a complete answer to this question for curves $C$ with nonspecial hyperplane section. This result is a consequence of our main theorem, which states that the normal bundle $N_C$ of a general nonspecial curve of degree $d$ and genus $g$ in $\mathbb P^r$ (with $d \geq g + r$) has the property of interpolation (i.e. that for a general effective divisor $D$ of any degree on $C$, either $H^0(N_C(-D)) = 0$ or $H^1(N_C(-D)) = 0$), with exactly three exceptions.

� propos de l?auteur

Atanas Atanasov, Harvard University, Cambridge, Massachusetts.

Eric Larson, Stanford University, California.

David Yang, Massachusetts Institute of Technology, Cambridge, Massachusetts.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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