The Siegel Modular Variety Of Degree Two And Level Four
Download The Siegel Modular Variety Of Degree Two And Level Four full books in PDF, epub, and Kindle. Read online free The Siegel Modular Variety Of Degree Two And Level Four ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
The Siegel Modular Variety of Degree Two and Level Four
Author | : Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 75 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9780821806203 |
Download The Siegel Modular Variety of Degree Two and Level Four Book in PDF, Epub and Kindle
The Siegel Modular Variety of Degree Two and Level Four is by Ronnie Lee and Steven H. Weintraub: Let $\mathbf M_n$ denote the quotient of the degree two Siegel space by the principal congruence subgroup of level $n$ of $Sp_4(\mathbb Z)$. $\mathbfM_n$ is the moduli space of principally polarized abelian surfaces with a level $n$ structure and has a compactification $\mathbfM^*_n$ first constructed by Igusa. $\mathbfM^*_n$ is an almost non-singular (non-singular for $n> 1$) complex three-dimensional projective variety (of general type, for $n> 3$). The authors analyze the Hodge structure of $\mathbfM^*_4$, completely determining the Hodge numbers $h^{p,q} = \dim H^{p,q}(\mathbfM^*_4)$. Doing so relies on the understanding of $\mathbfM^*_2$ and exploitation of the regular branched covering $\mathbfM^*_4 \rightarrow \mathbfM^*_2$.""Cohomology of the Siegel Modular Group of Degree Two and Level Four"" is by J. William Hoffman and Steven H. Weintraub. The authors compute the cohomology of the principal congruence subgroup $\Gamma_2(4) \subset S{_p4} (\mathbb Z)$ consisting of matrices $\gamma \equiv \mathbf 1$ mod 4. This is done by computing the cohomology of the moduli space $\mathbfM_4$. The mixed Hodge structure on this cohomology is determined, as well as the intersection cohomology of the Satake compactification of $\mathbfM_4$.
The Siegel Modular Variety of Degree Two and Level Four
![The Siegel Modular Variety of Degree Two and Level Four](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman |
Publsiher | : American Mathematical Society(RI) |
Total Pages | : 90 |
Release | : 2014-09-11 |
Genre | : MATHEMATICS |
ISBN | : 1470402203 |
Download The Siegel Modular Variety of Degree Two and Level Four Book in PDF, Epub and Kindle
This book is intended for graduate students and research mathematicians working in algebraic geometry.
The Siegel Modular Variety of Degree Two and Level Four
Author | : Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 0821863541 |
Download The Siegel Modular Variety of Degree Two and Level Four Book in PDF, Epub and Kindle
Enthält: The Siegel modular variety of degree two and level four / Ronnie Lee, Steven H. Weintraub. Cohomology of the Siegel modular group of degree two and level four / J. William Hoffman, Steven H. Weintraub.
Arithmetic of Complex Manifolds
Author | : Wolf-P. Barth,Herbert Lange |
Publsiher | : Springer |
Total Pages | : 176 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540467915 |
Download Arithmetic of Complex Manifolds Book in PDF, Epub and Kindle
It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. This proceedings volume contains 12 original research papers. Its main topics are theta functions, modular forms, abelian varieties and algebraic three-folds.
Periodic Hamiltonian Flows on Four Dimensional Manifolds
Author | : Yael Karshon |
Publsiher | : American Mathematical Soc. |
Total Pages | : 71 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780821811818 |
Download Periodic Hamiltonian Flows on Four Dimensional Manifolds Book in PDF, Epub and Kindle
Abstract - we classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian $S^1$-spaces. Additionally, we show that all these spaces are Kahler, that every such space is obtained from a simple model by a sequence of symplectic blowups, and that if the fixed points are isolated then the space is a toric variety.
Arithmetic Groups and Their Generalizations
Author | : Lizhen Ji |
Publsiher | : American Mathematical Soc. |
Total Pages | : 282 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9780821848661 |
Download Arithmetic Groups and Their Generalizations Book in PDF, Epub and Kindle
In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics. Titles in this series are co-published with International Press, Cambridge, MA.Table of Contents: Introduction; General comments on references; Examples of basic arithmetic groups; General arithmetic subgroups and locally symmetric spaces; Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups; Different completions of $\mathbb{Q}$ and $S$-arithmetic groups over number fields; Global fields and $S$-arithmetic groups over function fields; Finiteness properties of arithmetic and $S$-arithmetic groups; Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients; Compactifications of locally symmetric spaces; Rigidity of locally symmetric spaces; Automorphic forms and automorphic representations for general arithmetic groups; Cohomology of arithmetic groups; $K$-groups of rings of integers and $K$-groups of group rings; Locally homogeneous manifolds and period domains; Non-cofinite discrete groups, geometrically finite groups; Large scale geometry of discrete groups; Tree lattices; Hyperbolic groups; Mapping class groups and outer automorphism groups of free groups; Outer automorphism group of free groups and the outer spaces; References; Index. Review from Mathematical Reviews: ...the author deserves credit for having done the tremendous job of encompassing every aspect of arithmetic groups visible in today's mathematics in a systematic manner; the book should be an important guide for some time to come.(AMSIP/43.
Homogeneous Integral Table Algebras of Degree Three A Trilogy
Author | : Harvey I. Blau |
Publsiher | : American Mathematical Soc. |
Total Pages | : 89 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780821820216 |
Download Homogeneous Integral Table Algebras of Degree Three A Trilogy Book in PDF, Epub and Kindle
This book features homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied.It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism of order three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism.
Iterated Function Systems and Permutation Representations of the Cuntz Algebra
Author | : Ola Bratteli,Palle E. T. Jørgensen |
Publsiher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 1999 |
Genre | : C*-algebras |
ISBN | : 9780821809624 |
Download Iterated Function Systems and Permutation Representations of the Cuntz Algebra Book in PDF, Epub and Kindle
This book is intended for graduate students and research mathematicians working in functional analysis.