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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Author: Karen A. Chandler
Journal: Trans. Amer. Math. Soc. 353 (2001), 1907-1920
MSC (1991): Primary 13D40, 14F17
Published electronically: December 21, 2000
MathSciNet review: 1813598
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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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Additional Information

Karen A. Chandler
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email: kchandle@noether.math.nd.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02732-X
PII: S 0002-9947(00)02732-X
Received by editor(s): October 30, 1999
Received by editor(s) in revised form: December 7, 1999
Published electronically: December 21, 2000
Dedicated: To A. V. Geramita
Article copyright: © Copyright 2000 American Mathematical Society