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There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a S
1-valued function defined on the boundary of a bounded regular domain of R
. When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a...
be polynomials in n variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials g
such that ∑g
=1. The effective versions of this result bound the degrees of the g
in terms of the degrees of the f
. The aim of this paper is to...
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