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

Authors
Chandler, KA
Citation
Ka. Chandler, A brief proof of a maximal rank theorem for generic double points in projective space, T AM MATH S, 353(5), 2001, pp. 1907-1920
Citations number
11
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
353
Issue
5
Year of publication
2001
Pages
1907 - 1920
Database
ISI
SICI code
0002-9947(2001)353:5<1907:ABPOAM>2.0.ZU;2-I
Abstract
We give a simple proof of the following theorem of J. Alexander and A. Hirs chowitz: Given a general set of points in projective space, the homogeneous ideal of polynomials that are singular at these points has the expected di mension in each degree of 4 and higher, except in 3 cases.