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Journal Article

On Flat Families of Fat Points

Giuseppe Paxia
Proceedings of the American Mathematical Society
Vol. 112, No. 1 (May, 1991), pp. 19-23
DOI: 10.2307/2048475
Stable URL: http://www.jstor.org/stable/2048475
Page Count: 5

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Topics: Fats, Mathematical theorems, Linear systems, Integers, Mathematical functions, Morphisms
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Flat Families of Fat Points
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Abstract

The aim of this paper is to fill a gap in a proof of a theorem by B. Segre regarding the regularity of linear systems of curves in P2. This is done by showing that some subschemes of "fat points" of P2 form a flat family over an integral quasiprojective variety of which we give an explicit construction.

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