Field of definition and rational points

DOI10.5802/jtnb.386zbMath1073.14520OpenAlexW2316145815MaRDI QIDQ1424569

Geoffroy Derome

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_45_0

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35)

Cites Work

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• Quelques aspects des surfaces de Riemann. (Some aspects of Riemann surfaces)
• On fields of moduli of curves
• On the theory of \(\vartheta\)-functions, the moduli of Abelian varieties, and the moduli of curves
• The Field of Definition of a Variety
• ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD
• Algebraic covers: Field of moduli versus field of definition
• FINITENESS RESULTS IN DESCENT THEORY
• On the Field of Rationality for an Abelian Variety