Cover of Atanas Atanasov: Interpolation for Normal Bundles of General Curves

Atanas Atanasov Interpolation for Normal Bundles of General Curves

Price for Eshop: 3110 Kč (€ 124.4)

VAT 0% included

New

E-book delivered electronically online

E-Book information

American Mathematical Society

PDF
How do I buy e-book?

105

978-1-4704-4951-3

1-4704-4951-X

Annotation

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.

Ask question

You can ask us about this book and we'll send an answer to your e-mail.