Fields of definition and Belyi type theorems for curves and surfaces

Paolo Dolce

Fields of definition and Belyi type theorems for curves and surfaces

Paolo Dolce

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

Abstract

We study the relationship between the (effective) fields of definition of a complex projective variety and the orbit {X^σ}_σ_∈Aut(ℂ) where X^σ is the “twisted” variety obtained by applying σ to the equations defining X. Furthermore we present some applications of this theory to smooth curves and smooth minimal surfaces.

Original language	English
Pages (from-to)	823-851
Number of pages	29
Journal	New York Journal of Mathematics
Volume	22
State	Published - 1 Jan 2016
Externally published	Yes

Keywords

Belyi’s theorem
Fields of definition
Minimal surfaces
Numberfields
Projective varieties

ASJC Scopus subject areas

General Mathematics

Cite this

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AB - We study the relationship between the (effective) fields of definition of a complex projective variety and the orbit {Xσ}σ∈Aut(ℂ) where Xσ is the “twisted” variety obtained by applying σ to the equations defining X. Furthermore we present some applications of this theory to smooth curves and smooth minimal surfaces.

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KW - Fields of definition

KW - Minimal surfaces

KW - Numberfields

KW - Projective varieties

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JF - New York Journal of Mathematics

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Fields of definition and Belyi type theorems for curves and surfaces

Abstract

Keywords

ASJC Scopus subject areas

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