DOIAbstract
AbstractLet J denote the Jacobian of the Fermat curve of exponent 5. In this paper we use information about the endomorphism ring of J to show that J is isomorphic over Q to a product of absolutely simple Abelian varieties defined over Q
AbstractLet J denote the Jacobian of the Fermat curve of exponent 5. In this paper we use information about the endomorphism ring of J to show that J is isomorphic over Q to a product of absolutely simple Abelian varieties defined over Q
AbstractLet K be a field of characteristic p≠2, and let f(x) be a sextic polynomial irreducible over...
AbstractThe Eisenstein ideal for a Fermat curve, defined by Mazur to be the endomorphisms of the jac...
Thesis: S.M., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged from ...
Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q wi...
Let k k be a field of characteristic zero containing a primitive fifth root of unity. Let X/k X/k be...
The structure of thep-divisible groups arising from Fermat curves over finite fields of characterist...
Building on a method of Zarhin, we determine the tensor of the endomorphism ring of the Jacobian ove...
The class-invariant homomorphism allows one to measure the Galois module structure of extensions obt...
AbstractThe abeliant is a polynomial rule which to each n×n by n+2 array with entries in a commutati...
Introduction (0.1) Question Given an abelian variety A; does there exist an algebraic curve C such t...
Let XΓ = Γ\H ∗ be the modular curve associated to a congruence subgroup Γ of level N with Γ1(N) ≤ Γ...
In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' wh...
AbstractSuppose given a prime number p, and a positive integer g. We show there exists a curve of ge...
This chapter introduces the main characters of this book — curves and their Jacobians. To this aim w...
Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multipl...
AbstractLet K be a field of characteristic p≠2, and let f(x) be a sextic polynomial irreducible over...
AbstractThe Eisenstein ideal for a Fermat curve, defined by Mazur to be the endomorphisms of the jac...
Thesis: S.M., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged from ...
Abstract. The Jacobian J0(23) of the modular curve X0(23) is a semi-stable abelian variety over Q wi...
Let k k be a field of characteristic zero containing a primitive fifth root of unity. Let X/k X/k be...
The structure of thep-divisible groups arising from Fermat curves over finite fields of characterist...
Building on a method of Zarhin, we determine the tensor of the endomorphism ring of the Jacobian ove...
The class-invariant homomorphism allows one to measure the Galois module structure of extensions obt...
AbstractThe abeliant is a polynomial rule which to each n×n by n+2 array with entries in a commutati...
Introduction (0.1) Question Given an abelian variety A; does there exist an algebraic curve C such t...
Let XΓ = Γ\H ∗ be the modular curve associated to a congruence subgroup Γ of level N with Γ1(N) ≤ Γ...
In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' wh...
AbstractSuppose given a prime number p, and a positive integer g. We show there exists a curve of ge...
This chapter introduces the main characters of this book — curves and their Jacobians. To this aim w...
Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multipl...
AbstractLet K be a field of characteristic p≠2, and let f(x) be a sextic polynomial irreducible over...
AbstractThe Eisenstein ideal for a Fermat curve, defined by Mazur to be the endomorphisms of the jac...
Thesis: S.M., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged from ...
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