On families of geometric parasitic solutions for belyi systems of genus zero

E. M. Kreines

doi:10.1007/s10958-005-0278-9

On families of geometric parasitic solutions for belyi systems of genus zero

E. M. Kreines

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper is devoted to interrelations between the combinatorial structure of plane graphs and algebraic properties of systems of equations related to Belyi functions for these graphs. The main purpose is to describe some families of plane graphs possessing parasitic solutions and some families of plane graphs such that each solution of the corresponding systems is not parasitic and has multiplicity one.

Original language	English
Pages (from-to)	3396-3401
Number of pages	6
Journal	Journal of Mathematical Sciences
Volume	128
Issue number	6
DOIs	https://doi.org/10.1007/s10958-005-0278-9
State	Published - 1 Aug 2005
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-005-0278-9

Cite this

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title = "On families of geometric parasitic solutions for belyi systems of genus zero",

abstract = "This paper is devoted to interrelations between the combinatorial structure of plane graphs and algebraic properties of systems of equations related to Belyi functions for these graphs. The main purpose is to describe some families of plane graphs possessing parasitic solutions and some families of plane graphs such that each solution of the corresponding systems is not parasitic and has multiplicity one.",

author = "Kreines, {E. M.}",

note = "Funding Information: This work is partially supported by RFBR grants Nos. 00-15-96128 and 99-01-00382.",

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AB - This paper is devoted to interrelations between the combinatorial structure of plane graphs and algebraic properties of systems of equations related to Belyi functions for these graphs. The main purpose is to describe some families of plane graphs possessing parasitic solutions and some families of plane graphs such that each solution of the corresponding systems is not parasitic and has multiplicity one.

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On families of geometric parasitic solutions for belyi systems of genus zero

Abstract

ASJC Scopus subject areas

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