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Uniqueness of exceptional singular quartics
Author(s):
Karen
A.
Chandler
Journal:
Proc. Amer. Math. Soc.
132
(2004),
347-352.
MSC (2000):
Primary 14N10;
Secondary 14C20
Posted:
June 23, 2003
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Abstract:
We prove that given a general collection  of 14 points of  (  an infinite field) there is a unique quartic hypersurface that is singular on  . This completes the solution to the open problem of the dimension of a linear system of hypersurfaces of  that are singular on a collection of general points.
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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:
10.1090/S0002-9939-03-07153-3
PII:
S 0002-9939(03)07153-3
Received by editor(s):
April 17, 2001
Received by editor(s) in revised form:
October 14, 2002
Posted:
June 23, 2003
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2003,
American Mathematical Society
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