Interpolation for Normal Bundles of General Curves Paperback / softback
by Atanas Atanasov, Eric Larson, David Yang
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:105 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2019
- Category:
- ISBN:9781470434892
Other Formats
- PDF from £72.90
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:105 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2019
- Category:
- ISBN:9781470434892
