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Fat Points on Rational Normal Curves

✍ Scribed by Maria Virginia Catalisano; Philippe Ellia; Alessandro Gimigliano

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
679 KB
Volume
216
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we study 0-dimensional schemes Z made of "fat points" in pn, n > 2, whose support lies on a rational normal curve. We conjecture that the Hilbert function of Z does not depend on the choice of the points and we show this under some numerical hypotheses. We also study the Hilbert Function of the infinitesimal neighborhoods of the rational normal curve and we find the value where it coincides with the Hilbert Polynomial.

πŸ“œ SIMILAR VOLUMES

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