A discrete group Γ given over some complete non archimedean valued field defines a curve X. The theta functions for Γ provide an analytic construction for the Jacobian variety of X. A theory of theta functions is developed with the help of currents on trees and graphs and the cohomology for Γ. In connection with Shimura curves and quaternions a great variety of discrete groups is explicity calculed. The relation between a problem of Abhyankar and Drinfeld's modular curves is given
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first pa...
The discrete logarithm on elliptic curves gives the standard protocols in public key cryptography: a...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
We continue an investigation initiated by Consani-Marcolli of the relation between the algebraic geo...
The purpose of this work is twofold. Firstly, we generalize the construction of Gekeler and Reversat...
Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called Mum- ford...
The purpose of this work is twofold. Firstly, we generalize the construction of Gekeler and Reversat...
A Mumford group is a discontinuous subgroup Gamma of PGL(2) (K), where K denotes a non archimedean v...
Abstract. Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first pa...
The discrete logarithm on elliptic curves gives the standard protocols in public key cryptography: a...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
A discrete group Γ given over some complete non archimedean valued field defines a curve X. The thet...
We continue an investigation initiated by Consani-Marcolli of the relation between the algebraic geo...
The purpose of this work is twofold. Firstly, we generalize the construction of Gekeler and Reversat...
Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called Mum- ford...
The purpose of this work is twofold. Firstly, we generalize the construction of Gekeler and Reversat...
A Mumford group is a discontinuous subgroup Gamma of PGL(2) (K), where K denotes a non archimedean v...
Abstract. Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
A section K on a genus g canonical curve C is identified as the key tool to prove new results on the...
This thesis consists of two parts. Both parts are about the algebra of theta functions. The first pa...
The discrete logarithm on elliptic curves gives the standard protocols in public key cryptography: a...
The study of periods of automorphic forms using the theta correspondence and the Weil representation...
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