The Gabrielov–Khovanskii Problem for Polynomials

Pukhlikov, Aleksandr V (2016) The Gabrielov–Khovanskii Problem for Polynomials. Arnold Mathematical Journal, 2 (1). pp. 29-68.

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Official URL: http://dx.doi.org/10.1007/s40598-015-0031-5

Abstract

We state and consider the Gabrielov–Khovanskii problem of estimating the multiplicity of a common zero for a tuple of polynomials in a subvariety of a given codimension in the space of tuples of polynomials. For a bounded codimension we obtain estimates of the multiplicity of the common zero, which are close to optimal ones. We consider certain generalizations and open questions.

Item Type:	Article
Depositing User:	Symplectic Admin
Date Deposited:	21 Jun 2016 09:14
Last Modified:	19 Jan 2023 07:35
DOI:	10.1007/s40598-015-0031-5
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001758