Polynomials on algebraic manifolds

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 $K\subset A.$

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Publication Details

Journal
Carpathian Mathematical Publications
Published
2024-09-26
DOI
https://doi.org/10.15330/cmp.16.2.401-406
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
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article

Polynomials on algebraic manifolds

Alimardon Abdirimovich Atamuratov
Carpathian Mathematical Publications
Advanced Differential Equations and Dynamical Systems
article

Polynomials on algebraic manifolds

Alimardon Abdirimovich Atamuratov
article en

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 $K\subset A.$

Carpathian Mathematical PublicationsVol. 16(2)
Academy of Sciences Republic of Uzbekistan (UZ)
Openalex Percentile: Top 74%
Advanced Differential Equations and Dynamical Systems
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Polynomials on algebraic manifolds — Alimardon Abdirimovich Atamuratov · Carpathian Mathematical Publications (2024) | TGRS Research Map | TGRS