Abstract
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.
Original language | English |
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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