Interpolation for Normal Bundles of General Curves

Released on by Atanas Atanasov
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  • Interpolation for Normal Bundles of General Curves Book Detail

  • Author : Atanas Atanasov
  • Release Date : 2019-02-21
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 118
  • ISBN 13 : 147043489X
  • File Size : 90,90 MB
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Interpolation for Normal Bundles of General Curves by Atanas Atanasov PDF Summary

Book Description: 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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