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

Atanasov, Atanas, Larson, Eric, Yang, David

ISBN 10: 147043489X / ISBN 13: 9781470434892

Published by Amer Mathematical Society (edition )

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 147043489X-8-1

Bibliographic Details

• Title: Interpolation for Normal Bundles of General Curves (Memoirs of the American Mathematical Society)
• Publisher: Amer Mathematical Society (edition )
• Language: English
• ISBN 10: 147043489X
• ISBN 13: 9781470434892
• Binding: Paperback
• Condition: Very Good

About this title

Synopsis

Given $n$ general points $p1, p2, ldots , pn in mathbb Pr$, it is natural to ask when there exists a curve $C subset mathbb Pr$, of degree $d$ and genus $g$, passing through $p1, p2, ldots , pn$. 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 $NC$ of a general nonspecial curve of degree $d$ and genus $g$ in $mathbb Pr$ (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 $H0(NC(-D)) = 0$ or $H1(NC(-D)) = 0$), with exactly three exceptions.