Interpolation for normal bundles of general curves. Memoirs of the American Mathematical Society; Bd. volume 257, number 1234 (fourth of 6 numbers).

Atanasov, Atanas; Larson, Eric; Yang, David

ISBN 10: 147043489X / ISBN 13: 9781470434892

Edité par Providence, American Mathematical Society, 2019

A propos de cet article

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03389 9781470434892 Sprache: Englisch Gewicht in Gramm: 150.

N° de réf. du vendeur 2489296

Détails bibliographiques

• Titre: Interpolation for normal bundles of general curves. Memoirs of the American Mathematical Society; Bd. volume 257, number 1234 (fourth of 6 numbers).
• Éditeur: Providence, American Mathematical Society
• Date de parution: 2019
• Langue: anglais
• ISBN à 10 chiffres: 147043489X
• ISBN à 13 chiffres: 9781470434892
• Reliure: Softcover
• Catalogues du vendeur:
  • SA MATHEMATIK

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.

À propos de l?auteur

Atanas Atanasov, Harvard University, Cambridge, Massachusetts.

Eric Larson, Stanford University, California.

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