Produção Nacional
Revisado por pares
On Homogenous Minimal Involutive Varieties
2005; London Mathematical Society; Volume: 8; Linguagem: Inglês
10.1112/s1461157000001005
ISSN1461-1570
AutoresL. C. O. Almeida, S. C. Coutinho,
Tópico(s)Advanced Differential Equations and Dynamical Systems
ResumoAbstract Ѕ( 2n,k ) be the variety of homogeneous polynomials of degree k in 2 n 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 ℂ 4 for all F ∈ Ω. As part of the proof, they give an explicit example of a polynomial with rational coefficients that belongs to Ω.
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