A brief proof of a maximal rank theorem for generic double points in projective space

Chandler, Karen

doi:10.1090/S0002-9947-00-02732-X

A brief proof of a maximal rank theorem for generic double points in projective space
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Trans. Amer. Math. Soc. 353 (2001), 1907-1920 Request permission

Abstract:

We give a simple proof of the following theorem of J. Alexander and A. Hirschowitz: Given a general set of points in projective space, the homogeneous ideal of polynomials that are singular at these points has the expected dimension in each degree of 4 and higher, except in 3 cases.

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