ON THE RANK OF ABELIAN VARIETIES OVER AMPLE FIELDS

DOI10.1142/S1793042110003071zbMath1193.14054OpenAlexW2058488204MaRDI QIDQ3566638

Sebastian Petersen, Arno Fehm

Publication date: 8 June 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042110003071

zbMATH Keywords

abelian varietyinfinite rankample field

Mathematics Subject Classification ID

Rational points (14G05) Algebraic theory of abelian varieties (14K05) Field arithmetic (12E30)

Related Items

Ramified covers of abelian varieties over torsion fields, Embeddings of function fields into ample fields, Definability and decidability for rings of integers in totally imaginary fields, Galois theory over rings of arithmetic power series, Subfields of ample fields. Rational maps and definability, Big fields that are not large

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