Yu. I. Manin conjectured that the maximal abelian extensions of the real quadratic number fields are generated by the pseudo-lattices with real multiplication. We prove this conjecture using theory of measured foliations on the modular curves.Comment: to appear Acta Mathematica Vietnamic
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
Modular forms for GL(2) over an imaginary quadratic field K are known as Bianchi modular forms. Stan...
The goal of this paper is two folds: we generalize the arithmetic Chern-Simons theory over totally i...
Brumer and Kramer gave bounds on local conductor exponents for an abelian variety $A/\mathbb Q$ in t...
Let $E/F$ be an elliptic curve over a number field $F$ with complex multiplication by the ring of in...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
This thesis intends to make a contribution to the theories of algebraic cycles and moduli spaces ove...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
One problems which has lead the advance of number theory since the 20th century until now, is Hilber...
We describe the birational and the biregular theory of cyclic and Abelian coverings between real var...
Cycle integrals of modular functions are expected to play a role in real quadratic analogue of singu...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
N.Garc\'ia-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of intege...
In this paper, we describe a congruence property of solvable polynomials with coefficients in the Ga...
The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
Modular forms for GL(2) over an imaginary quadratic field K are known as Bianchi modular forms. Stan...
The goal of this paper is two folds: we generalize the arithmetic Chern-Simons theory over totally i...
Brumer and Kramer gave bounds on local conductor exponents for an abelian variety $A/\mathbb Q$ in t...
Let $E/F$ be an elliptic curve over a number field $F$ with complex multiplication by the ring of in...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
This thesis intends to make a contribution to the theories of algebraic cycles and moduli spaces ove...
The thesis starts with two expository chapters. In the first one we discuss abelian varieties with p...
One problems which has lead the advance of number theory since the 20th century until now, is Hilber...
We describe the birational and the biregular theory of cyclic and Abelian coverings between real var...
Cycle integrals of modular functions are expected to play a role in real quadratic analogue of singu...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
N.Garc\'ia-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of intege...
In this paper, we describe a congruence property of solvable polynomials with coefficients in the Ga...
The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
Modular forms for GL(2) over an imaginary quadratic field K are known as Bianchi modular forms. Stan...
The goal of this paper is two folds: we generalize the arithmetic Chern-Simons theory over totally i...
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