The LMS JCM, (8) 301-315. Published 23 Dec 2005. First received 08 Dec 2003.


On homogenous minimal involutive varieties

L. C. O. Almeida and S. C. Coutinho



Abstract: Let S(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 S(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.

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