Analytic and Algebraic Geometry


Author: Anilatmaja Aryasomayajula,Indranil Biswas,Archana S. Morye,A. J. Parameswaran
Publisher: Springer
ISBN: 981105648X
Category: Mathematics
Page: 292
View: 7792
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This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.

Algebraic Geometry over the Complex Numbers


Author: Donu Arapura
Publisher: Springer Science & Business Media
ISBN: 1461418097
Category: Mathematics
Page: 329
View: 1703
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This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

Arithmetic Groups and Their Generalizations

What, Why, and How
Author: Lizhen Ji
Publisher: American Mathematical Soc.
ISBN: 0821848666
Category: Mathematics
Page: 259
View: 1347
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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.)

Cycle Spaces of Flag Domains

A Complex Geometric Viewpoint
Author: Gregor Fels,Alan Huckleberry,Joseph A. Wolf
Publisher: Springer Science & Business Media
ISBN: 0817644792
Category: Mathematics
Page: 339
View: 7061
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Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index

Recent Advances in Algebraic Geometry

A Volume in Honor of Rob Lazarsfeld’s 60th Birthday
Author: Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa
Publisher: Cambridge University Press
ISBN: 131619583X
Category: Mathematics
Page: N.A
View: 1529
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Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.

Neue Topologische Methoden in der Algebraischen Geometrie


Author: F. Hirzebruch
Publisher: N.A
ISBN: 9783662415061
Category: Geometry, Algebraic
Page: N.A
View: 4864
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Journal of the Korean Mathematical Society


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 2878
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Differentialgeometrie, Topologie und Physik


Author: Mikio Nakahara
Publisher: Springer-Verlag
ISBN: 3662453002
Category: Science
Page: 597
View: 4408
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Differentialgeometrie und Topologie sind wichtige Werkzeuge für die Theoretische Physik. Insbesondere finden sie Anwendung in den Gebieten der Astrophysik, der Teilchen- und Festkörperphysik. Das vorliegende beliebte Buch, das nun erstmals ins Deutsche übersetzt wurde, ist eine ideale Einführung für Masterstudenten und Forscher im Bereich der theoretischen und mathematischen Physik. - Im ersten Kapitel bietet das Buch einen Überblick über die Pfadintegralmethode und Eichtheorien. - Kapitel 2 beschäftigt sich mit den mathematischen Grundlagen von Abbildungen, Vektorräumen und der Topologie. - Die folgenden Kapitel beschäftigen sich mit fortgeschritteneren Konzepten der Geometrie und Topologie und diskutieren auch deren Anwendungen im Bereich der Flüssigkristalle, bei suprafluidem Helium, in der ART und der bosonischen Stringtheorie. - Daran anschließend findet eine Zusammenführung von Geometrie und Topologie statt: es geht um Faserbündel, characteristische Klassen und Indextheoreme (u.a. in Anwendung auf die supersymmetrische Quantenmechanik). - Die letzten beiden Kapitel widmen sich der spannendsten Anwendung von Geometrie und Topologie in der modernen Physik, nämlich den Eichfeldtheorien und der Analyse der Polakov'schen bosonischen Stringtheorie aus einer gemetrischen Perspektive. Mikio Nakahara studierte an der Universität Kyoto und am King’s in London Physik sowie klassische und Quantengravitationstheorie. Heute ist er Physikprofessor an der Kinki-Universität in Osaka (Japan), wo er u. a. über topologische Quantencomputer forscht. Diese Buch entstand aus einer Vorlesung, die er während Forschungsaufenthalten an der University of Sussex und an der Helsinki University of Sussex gehalten hat.

Mathematical Reviews


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 1446
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Whitaker's Books in Print


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Bibliography, National
Page: N.A
View: 6176
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Bulletin of the AMS


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 3378
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American Book Publishing Record

BPR cumulative
Author: Bowker Staff
Publisher: R. R. Bowker
ISBN: 9780835240857
Category: Reference
Page: 17426
View: 5679
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Algebraic geometry and analytic geometry

proceedings of a conference held in Tokyo, Japan, August 13-17, 1990
Author: Akira Fujiki,Nihon Sūgakkai
Publisher: Springer Verlag
ISBN: N.A
Category: Mathematics
Page: 260
View: 1727
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Geometrische Methoden in der Invariantentheorie


Author: Hanspeter Kraft
Publisher: Springer-Verlag
ISBN: 3663101436
Category: Technology & Engineering
Page: 308
View: 6841
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In dieser Einführung geht es vor allem um die geometrischen Aspekte der Invariantentheorie. Die hauptsächliche Motivation bildet das Studium von Klassifikations- und Normalformenproblemen, die auch historisch der Ausgangspunkt für invariantentheoretische Untersuchungen waren.

Galoissche Theorie


Author: Emil Artin
Publisher: N.A
ISBN: N.A
Category: Galois theory
Page: 86
View: 5188
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New Technical Books


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Engineering
Page: N.A
View: 9894
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Scientific and Technical Books in Print


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Engineering
Page: N.A
View: 8571
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Principia Mathematica.


Author: Alfred North Whitehead,Bertrand Russell
Publisher: N.A
ISBN: N.A
Category: Logic, Symbolic and mathematical
Page: 167
View: 7485
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Lectures on the Mordell-Weil Theorem


Author: Jean Pierre Serre
Publisher: Springer-Verlag
ISBN: 3663140601
Category: Mathematics
Page: 220
View: 1776
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Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit
Author: Edward Frenkel
Publisher: Springer-Verlag
ISBN: 3662434210
Category: Mathematics
Page: 317
View: 9886
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