Interpolation for Normal Bundles of General Curves (Memoirs of the American Mathematical Society) - Softcover

Atanasov, Atanas; Larson, Eric; Yang, David

Softcover

ISBN 10: 147043489X ISBN 13: 9781470434892

Verlag: American Mathematical Society, 2019

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Atanas Atanasov, Harvard University, Cambridge, Massachusetts.

Eric Larson, Stanford University, California.

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

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 147043489X
• ISBN 13: 9781470434892
• Einband: Tapa blanda
• Anzahl der Seiten: 105
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar