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On Homogenous Minimal Involutive Varieties

Published online by Cambridge University Press:  01 February 2010

L. C. O. Almeida  and
S. C. Coutinho
L. C. O. Almeida
Affiliation:
Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro. RJBrazil, lcoalmeida@yahoo.com
S. C. Coutinho
Affiliation:
Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro. RJBrazil, collier@impa.br, http://www.dcc.ufrj.br/~collier

Abstract

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Ѕ(2n,k) be the variety of homogeneous polynomials of degree k in 2n variables. The authors of this paper give a computer-assisted proof that there is an analytic open set Ω of Ѕ(4,3) such that the surface F = 0 is a minimal homogeneous involutive variety of ℂ4 for all F ∈ Ω. As part of the proof, they give an explicit example of a polynomial with rational coefficients that belongs to Ω.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 8 , 2005 , pp. 301 - 315
Copyright
Copyright © London Mathematical Society 2005

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Supplementary material: File

JCM 8 Almeida and Coutinho Appendix A

Almeida and Coutinho Appendix A

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JCM 8 Almeida and Coutinho Appendix A readme

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