Hilbert modular surfaces by Gerard Van Der Geer

By Gerard Van Der Geer

Over the past 15 years vital effects were completed within the box of Hilbert Modular forms. even though the most emphasis of this ebook is at the geometry of Hilbert modular surfaces, either geometric and mathematics points are taken care of. An abundance of examples - in reality an entire bankruptcy - completes this powerfuble presentation of the topic. This Ergebnisbericht will quickly turn into an indispensible software for graduate scholars and researchers during this box.

Show description

Read or Download Hilbert modular surfaces PDF

Best algebraic geometry books

Introduction to modern number theory : fundamental problems, ideas and theories

This version has been known as ‘startlingly up-to-date’, and during this corrected moment printing you may be certain that it’s much more contemporaneous. It surveys from a unified perspective either the fashionable country and the developments of continuous improvement in numerous branches of quantity conception. Illuminated by way of common difficulties, the primary rules of recent theories are laid naked.

Singularity Theory I

From the experiences of the 1st printing of this ebook, released as quantity 6 of the Encyclopaedia of Mathematical Sciences: ". .. My basic influence is of a very great ebook, with a well-balanced bibliography, advised! "Medelingen van Het Wiskundig Genootschap, 1995". .. The authors provide right here an up-to-the-minute advisor to the subject and its major purposes, together with a couple of new effects.

An introduction to ergodic theory

This article presents an advent to ergodic conception appropriate for readers understanding uncomplicated degree thought. The mathematical necessities are summarized in bankruptcy zero. it really is was hoping the reader may be able to take on study papers after analyzing the e-book. the 1st a part of the textual content is anxious with measure-preserving variations of likelihood areas; recurrence houses, blending homes, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy concept are mentioned.

Extra info for Hilbert modular surfaces

Sample text

29 A. 1. Implementation of the Hermite polynomial Implemented in Mathematica. 2. Implementation of the Fourier series Implemented in Mathematica. 3. Implementation of the Fourier transform Implemented in Mathematica. n:=n; k:=k; M=10; Freq=2; f=Cos[2*Pi/M*n*Freq]; F=Sum[f*E ^(-I*2*Pi*k*n/M),fn,0,M-1g]; Hf=2/M*Sum[F*Sin[(2*Pi*k*n)/M],fk,1,M/2-1g]; Plot[Abs[F],fk,-M/2,M/2g,AxesLabel -> f"w","F(w)"g]; Plot[ff,Hfg],fn,-2*M/Pi,2*M/Pig,AxesLabel -> f"t","f(t),Hf(t)"g]; 32 References [1] Aniansson J. et al, Fouriermetoder, KTH, Stockholm, 1989.

3. Implementation of the Fourier transform Implemented in Mathematica. n:=n; k:=k; M=10; Freq=2; f=Cos[2*Pi/M*n*Freq]; F=Sum[f*E ^(-I*2*Pi*k*n/M),fn,0,M-1g]; Hf=2/M*Sum[F*Sin[(2*Pi*k*n)/M],fk,1,M/2-1g]; Plot[Abs[F],fk,-M/2,M/2g,AxesLabel -> f"w","F(w)"g]; Plot[ff,Hfg],fn,-2*M/Pi,2*M/Pig,AxesLabel -> f"t","f(t),Hf(t)"g]; 32 References [1] Aniansson J. et al, Fouriermetoder, KTH, Stockholm, 1989. [2] Goldberg R. , Fourier transforms, Cambrige university press, Cambridge. , Boston, 1996. [4] Lennart HellstrÄom, LinjÄar analys, HÄogskolan i VÄaxjÄo, 1995.

If we instead subtract fmc and fbmc we get an upper AM-SSB signal. 1 has the same delay as the Hilbert ¯lter. The delay is needed in real applications to synchronize the two signals fm (t) and fbm (t). 29 A. 1. Implementation of the Hermite polynomial Implemented in Mathematica. 2. Implementation of the Fourier series Implemented in Mathematica. 3. Implementation of the Fourier transform Implemented in Mathematica. n:=n; k:=k; M=10; Freq=2; f=Cos[2*Pi/M*n*Freq]; F=Sum[f*E ^(-I*2*Pi*k*n/M),fn,0,M-1g]; Hf=2/M*Sum[F*Sin[(2*Pi*k*n)/M],fk,1,M/2-1g]; Plot[Abs[F],fk,-M/2,M/2g,AxesLabel -> f"w","F(w)"g]; Plot[ff,Hfg],fn,-2*M/Pi,2*M/Pig,AxesLabel -> f"t","f(t),Hf(t)"g]; 32 References [1] Aniansson J.

Download PDF sample

Rated 4.72 of 5 – based on 15 votes