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

Published by Providence, American Mathematical Society, 2019

About this Item

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

Seller Inventory # 2489296

Bibliographic Details

• Title: Interpolation for normal bundles of general curves. Memoirs of the American Mathematical Society; Bd. volume 257, number 1234 (fourth of 6 numbers).
• Publisher: Providence, American Mathematical Society
• Publication Date: 2019
• Language: English
• ISBN 10: 147043489X
• ISBN 13: 9781470434892
• Binding: Softcover
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

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.