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Regularity Index of Fat Points in the Projective Plane

✍ Scribed by G. Fatabbi

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 399 KB
Volume: 170
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1370

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✦ Synopsis

In this paper we determine a new upper bound for the regularity index of fat points of (P^{2}), without requiring any geometric condition on the points. This bound is intermediate between Segre's bound, that holds for points in the general position, and the more general bound, that is attained when the points are collinear: in fact, both of these bounds can be recovered as particular cases. Furthermore, our bound cannot, in general, be sharpened: in fact, it is attained if there are either many collinear points or collinear points with high multiplicities. : 1994 Academic Press, Inc.

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