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Ball And Surface Arithmetics
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Book Synopsis Ball and Surface Arithmetics by : Rolf-Peter Holzapfel
Download or read book Ball and Surface Arithmetics written by Rolf-Peter Holzapfel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bei höherdimensionalen komplexen Mannigfaltigkeiten stellt die Riemann-Roch-Theorie die grundlegende Verbindung von analytischen bzw. algebraischen zu topologischen Eigenschaften her. Dieses Buch befaßt sich mit Mannigfaltigkeiten der komplexen Dimension 2, d. h. mit komplexen Flächen. Hauptziel der Monographie ist es, neue rationale diskrete Invarianten (Höhen) in die Theorie komplexer Flächen explizit einzuführen und ihre Anwendbarkeit auf konkrete aktuelle Probleme darzustellen.Als erste unmittelbare Anwendung erhält man explizit und ganz allgemein Formeln vom Hurwitz-Typ endlicher Flächenüberlagerungen für die vier klassischen Invarianten, die auf andere Weise bisher nur in Spezialfällen zugänglich waren. Ein weiteres Anwendungsgebiet ist die Theorie der Picardschen Modulflächen: Neue Resultate werden beschrieben. Letztendlich kann im letzten Kapitel eine Ergänzung des bekannten Satzes von Bogomolov-Miyaoka-Yau mit Hilfe der Höhentheorie gezeigt werden. The monograph presents basically an arithmetic theory of orbital surfaces with cusp singularities. As main invariants orbital hights are introduced, not only for the surfaces but also for the components of orbital cycles. These invariants are rational numbers with nice functorial properties allowing precise formulas of Hurwitz type and a fine intersection theory for orbital cycles. For ball quotient surfaces they appear as volumes of fundamental domains. In the special case of Picard modular surfaces they are discovered by special value of Dirichlet L-series or higher Bernoulli numbers. As a central point of the monograph a general Proportionality Theorem in terms of orbital hights is proved. It yields a strong criterion to decide effectively whether a surface with given cycle supports a ball quotient structure being Kaehler-Einstein with negative constant holomorphic sectional curvature outside of this cycle. The theory is applied to the classification of Picard modular surfaces and to surfaces geography.
Book Synopsis Discrete Groups and Geometric Structures by : Karel Dekimpe
Download or read book Discrete Groups and Geometric Structures written by Karel Dekimpe and published by American Mathematical Soc.. This book was released on 2009-11-12 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May 26-30, 2008, in Kortrijk, Belgium. Readers will benefit from impressive survey papers by John R. Parker on methods to construct and study lattices in complex hyperbolic space and by Ursula Hamenstadt on properties of group actions with a rank-one element on proper $\mathrm{CAT}(0)$-spaces. This volume also contains research papers in the area of group actions and geometric structures, including work on loops on a twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, rigidity of real Bott towers, circles in groups of smooth circle homeomorphisms, and groups generated by spine reflections admitting crooked fundamental domains.
Book Synopsis Arithmetic and Geometry Around Hypergeometric Functions by : Rolf-Peter Holzapfel
Download or read book Arithmetic and Geometry Around Hypergeometric Functions written by Rolf-Peter Holzapfel and published by Springer Science & Business Media. This book was released on 2007-06-28 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.
Book Synopsis School Arithmetics by : George Albert Wentworth
Download or read book School Arithmetics written by George Albert Wentworth and published by . This book was released on 1919 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Myers Arithmetic for Grammar Schools by : George William Myers
Download or read book Myers Arithmetic for Grammar Schools written by George William Myers and published by . This book was released on 1912 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Locally Mixed Symmetric Spaces by : Bruce Hunt
Download or read book Locally Mixed Symmetric Spaces written by Bruce Hunt and published by Springer Nature. This book was released on 2021-09-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.
Book Synopsis Efficiency Arithmetic by : Charles Ernest Chadsey
Download or read book Efficiency Arithmetic written by Charles Ernest Chadsey and published by . This book was released on 1917 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for pupils of the seventh and eighth grades, this textbook combines fundamental operations, decimal, and fraction drills with common life applications.
Book Synopsis In the Tradition of Thurston II by : Ken’ichi Ohshika
Download or read book In the Tradition of Thurston II written by Ken’ichi Ohshika and published by Springer Nature. This book was released on 2022-08-02 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston’s heritage. Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The topics covered in the present volume include com-plex hyperbolic Kleinian groups, Möbius structures, hyperbolic ends, cone 3-manifolds, Thurston’s norm, surgeries in representation varieties, triangulations, spaces of polygo-nal decompositions and of singular flat structures on surfaces, combination theorems in the theories of Kleinian groups, hyperbolic groups and holomorphic dynamics, the dynamics and iteration of rational maps, automatic groups, and the combinatorics of right-angled Artin groups.
Book Synopsis Compact Complex Surfaces by : W. Barth
Download or read book Compact Complex Surfaces written by W. Barth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques Surfaces. - Bibliography. - Subject Index.
Book Synopsis Teachers' Manual for Teachers Using Arithmetic by Grades by : John Tilden Prince
Download or read book Teachers' Manual for Teachers Using Arithmetic by Grades written by John Tilden Prince and published by . This book was released on 1894 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithmetic written by Eugene Herz and published by . This book was released on 1920 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Myers-Brooks Grammar School Arithmetic by : George William Myers
Download or read book Myers-Brooks Grammar School Arithmetic written by George William Myers and published by . This book was released on 1907 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed to aid teachers by putting the teaching of arithmetic on a rational basis. The text has four main purposes: To present a pedagogical development of elementary mathematics as both a tool for use and as an elementary science; to use subject-matter representing real conditions; to present mathematics--its wide range and variety of uses in common affairs--to pupils to build number sense; to provide training in attacking common problems arithmetically and some power to analyze quantitative problems. Each teacher should select such topics and problems as have a particular interest for their school.
Book Synopsis Hopkins and Underwood's Arithmetic by : John William Hopkins
Download or read book Hopkins and Underwood's Arithmetic written by John William Hopkins and published by . This book was released on 1912 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Commercial Arithmetic by : James Bates Thomson
Download or read book A Commercial Arithmetic written by James Bates Thomson and published by . This book was released on 1884 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Progressive Arithmetic by : William James Milne
Download or read book Progressive Arithmetic written by William James Milne and published by . This book was released on 1906 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essentials of Arithmetic by : George Wentworth
Download or read book Essentials of Arithmetic written by George Wentworth and published by . This book was released on 1915 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complete Arithmetic by : William Guy Peck
Download or read book Complete Arithmetic written by William Guy Peck and published by . This book was released on 1877 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
