Polynomials on algebraic manifolds

A.A. Atamuratov

doi:10.15330/cmp.16.2.401-406

Polynomials on algebraic manifolds

Authors

A.A. Atamuratov V.I. Romanovsky Institute of Mathematics, 9 University str., 100174, Tashkent, Uzbekistan https://orcid.org/0000-0003-2928-0694

https://doi.org/10.15330/cmp.16.2.401-406

Keywords:

algebraic set, polynomial, Green function, polynomial approximation

Published online: 2024-09-26

Abstract

In this paper, we study polynomials on algebraic subvarieties $A\subset{\mathbb{C}}^{N},$ $\dim A=n,$ $n\le N,$ in the point of view their polynomial extensions into the enclosing space ${\mathbb{C}}^{N}.$ It is important in observing extremal Green function $V(z,K)$ for compact subset $K\subset A.$