Interpolation for Normal Bundles of General Curves is popular PDF and ePub book, written by Atanas Atanasov in 2019-02-21, it is a fantastic choice for those who relish reading online the Curves, Algebraic genre. Let's immerse ourselves in this engaging Curves, Algebraic book by exploring the summary and details provided below. Remember, Interpolation for Normal Bundles of General Curves can be Read Online from any device for your convenience.
Interpolation for Normal Bundles of General Curves Book PDF Summary
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.
Detail Book of Interpolation for Normal Bundles of General Curves PDF
- Author : Atanas Atanasov
- Release : 21 February 2019
- Publisher : American Mathematical Soc.
- ISBN : 9781470434892
- Genre : Curves, Algebraic
- Total Page : 105 pages
- Language : English
- PDF File Size : 7,5 Mb
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