Add to ORKGWe give a description of endomorphism rings of Weil restrictions of abelian varieties with respect to nite Galois extensions of elds. The results are applied to study the isogeny decompositions of Weil restrictions. 2000 Mathematics Subject Classication Primary: 14K15, Secondary: 11G10
Let A be an abelian variety defined over a number field K. It is proved that for the composite field...
We construct unramified Galois extensions over maximal abelian extensions of algebraic number fields...
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
A close relation between the endomorphism ring of a certain abelian variety and the Mordell-Weil gro...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Inspired by experimental data, this paper investigates which isogeny classes of abelian varieties de...
Abstract. Let A be an abelian variety defined over a number field K. It is proved that for the compo...
10 pages, comments are welcomeInternational audienceWe consider the finite set of isogeny classes of...
We study the interactions between Weil restriction for formal schemes and rigid varieties, Greenberg...
Given an abelian algebraic group A over a global field F, α ∈ A(F), and a prime `, the set of all pr...
Given a finitely generated field extension K of the rational numbers and an abelian variety C over K...
AbstractLet L/K be a Galois extension of number fields and let A be an abelian variety defined over ...
AbstractWe prove that any abelian variety with CM by OL of characteristic p is defined over a finite...
AbstractWe study the interactions between Weil restriction for formal schemes and rigid varieties, G...
The so-called class-invariant homomorphism ψ measures the Galois module structure of torsors—under a...
Let A be an abelian variety defined over a number field K. It is proved that for the composite field...
We construct unramified Galois extensions over maximal abelian extensions of algebraic number fields...
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
A close relation between the endomorphism ring of a certain abelian variety and the Mordell-Weil gro...
Let F be a finite extension field of Qp, A an abelian variety defined over F with ordinary good redu...
Inspired by experimental data, this paper investigates which isogeny classes of abelian varieties de...
Abstract. Let A be an abelian variety defined over a number field K. It is proved that for the compo...
10 pages, comments are welcomeInternational audienceWe consider the finite set of isogeny classes of...
We study the interactions between Weil restriction for formal schemes and rigid varieties, Greenberg...
Given an abelian algebraic group A over a global field F, α ∈ A(F), and a prime `, the set of all pr...
Given a finitely generated field extension K of the rational numbers and an abelian variety C over K...
AbstractLet L/K be a Galois extension of number fields and let A be an abelian variety defined over ...
AbstractWe prove that any abelian variety with CM by OL of characteristic p is defined over a finite...
AbstractWe study the interactions between Weil restriction for formal schemes and rigid varieties, G...
The so-called class-invariant homomorphism ψ measures the Galois module structure of torsors—under a...
Let A be an abelian variety defined over a number field K. It is proved that for the composite field...
We construct unramified Galois extensions over maximal abelian extensions of algebraic number fields...
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...