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Combinatorics of a certain ideal in the Segre coordinate ring
Author(s):
Paulo
Brumatti;
Philippe
Gimenez;
Aron
Simis
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3285-3292.
MSC (1991):
Primary 13H10;
Secondary 13C05, 13H15, 13P10
MathSciNet review:
1343683
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Abstract:
We focus on a ``fat'' model of an ideal in the class of the canonical ideal of the Segre coordinate ring, looking at its Rees algebra and related arithmetical questions.
References:
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- W. Bruns and U. Vetter, Determinantal rings, Lecture Notes in Mathematics, Vol. 1327, Springer Verlag, Berlin--Heidelberg--New York, 1988. MR 89i:13001
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- Ph. Gimenez, Étude de la fibre spéciale de l'éclatement d'une variété monomiale en codimension deux, Thèse, Institut Fourier, 1993.
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Additional Information:
Paulo
Brumatti
Affiliation:
IMECC, Universidade Estadual de Campinas, 13081-970 Campinas, São Paulo, Brazil
Email:
brumatti@ime.unicamp.br
Philippe
Gimenez
Affiliation:
Departamento de Algebra, Geometria e Topologia, Facultad de Ciencias, Universidad de Valladolid, 47005 Valladolid, Spain
Email:
pgimenez@cpd.uva.es
Aron
Simis
Affiliation:
Universidade Federal da Bahia, Instituto de Matemática, Av. Ademar de Barros, s/n, 40170-210 Salvador, Bahia, Brazil
Email:
aron@ufba.br
DOI:
10.1090/S0002-9939-96-03479-X
PII:
S 0002-9939(96)03479-X
Keywords:
Segre ring,
monomials,
Rees algebra,
Cohen--Macaulay,
polarization
Received by editor(s):
April 25, 1995
Additional Notes:
The first and the third authors were partially supported by CNPq. The second author is grateful for the warm hospitality during his visit to Brazilian institutions. He thanks UniCamp and CDE (IMU) for providing resources for this visit.
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1996,
American Mathematical Society
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