Interpolation for Normal Bundles of General Curves

Interpolation for Normal Bundles of General Curves
Author :
Publisher : American Mathematical Soc.
Total Pages : 118
Release :
ISBN-10 : 9781470434892
ISBN-13 : 147043489X
Rating : 4/5 (92 Downloads)

Book Synopsis Interpolation for Normal Bundles of General Curves by : Atanas Atanasov

Download or read book Interpolation for Normal Bundles of General Curves written by Atanas Atanasov and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given n general points p1,p2,…,pn∈Pr, it is natural to ask when there exists a curve C⊂Pr, of degree d and genus g, passing through p1,p2,…,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 Pr (with d≥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.


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