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Author : M. Namba
Publisher : Springer
ISBN 13 : 3540385185
Total Pages : 297 pages
Book Rating : 4.5/5 (43 download)
Download or read book Families of Meromorphic Functions on Compact Riemann Surfaces written by M. Namba and published by Springer. This book was released on 2006-11-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Marcomini
Publisher : Springer
ISBN 13 : 9780387097220
Total Pages : 436 pages
Book Rating : 4.0/5 (972 download)
Download or read book Decision Support Systems for Risk-Based Management of Contaminated Sites written by Antonio Marcomini and published by Springer. This book was released on 2008-12-16 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision Support Systems for Risk-Based Management of Contaminated Sites addresses decision making in environmental risk management for contaminated sites, focusing on the potential role of decision support systems in informing the management of chemical pollutants and their effects. Considering the environmental relevance and the financial impacts of contaminated sites all over the post-industrialized countries and the complexity of decision making in environmental risk management, decision support systems can be used by decision makers in order to have a more structured analysis of a problem at hand and define possible options of intervention to solve the problem. Accordingly, the book provides an analysis of the main steps and tools for the development of decision support systems, namely: environmental risk assessment, decision analysis, spatial analysis and geographic information system, indicators and endpoints. Sections are dedicated to the review of decision support systems for contaminated land management and for inland and coastal waters management. Both include discussions of management problem formulation and of the application of specific decision support systems. This book is a valuable support for environmental risk managers and for decision makers involved in a sustainable management of contaminated sites, including contaminated lands, river basins and coastal lagoons. Furthermore, it is a basic tool for the environmental scientists who gather data and perform assessments to support decisions, developers of decision support systems, students of environmental science and members of the public who wish to understand the assessment science that supports remedial decisions.
Author : Kichoon Yang
Publisher :
ISBN 13 : 9789401591522
Total Pages : 220 pages
Book Rating : 4.5/5 (915 download)
Download or read book Meromorphic Functions and Projective Curves written by Kichoon Yang and published by . This book was released on 2014-09-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Makoto Namba
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (164 download)
Download or read book Families of meormorphic functions on compact Riemann surfaces written by Makoto Namba and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernesto Girondo
Publisher : Cambridge University Press
ISBN 13 : 1139504185
Total Pages : 311 pages
Book Rating : 4.1/5 (395 download)
Download or read book Introduction to Compact Riemann Surfaces and Dessins d’Enfants written by Ernesto Girondo and published by Cambridge University Press. This book was released on 2011-12-22 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.
Author : R. Narasimhan
Publisher : Birkhäuser
ISBN 13 : 3034886179
Total Pages : 127 pages
Book Rating : 4.0/5 (348 download)
Download or read book Compact Riemann Surfaces written by R. Narasimhan and published by Birkhäuser. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hershel M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1461220343
Total Pages : 379 pages
Book Rating : 4.4/5 (612 download)
Download or read book Riemann Surfaces written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.
Author : Kichoon Yang
Publisher : World Scientific
ISBN 13 : 9814520039
Total Pages : 184 pages
Book Rating : 4.8/5 (145 download)
Download or read book Compact Riemann Surfaces And Algebraic Curves written by Kichoon Yang and published by World Scientific. This book was released on 1988-11-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introduction to the theory of Compact Riemann Surfaces and algebraic curves. It gives a concise account of the elementary aspects of different viewpoints in curve theory. Foundational results on divisors and compact Riemann surfaces are also stated and proved.
Author : Ernesto Girondo
Publisher : Cambridge University Press
ISBN 13 : 0521519632
Total Pages : 311 pages
Book Rating : 4.5/5 (215 download)
Download or read book Introduction to Compact Riemann Surfaces and Dessins D'Enfants written by Ernesto Girondo and published by Cambridge University Press. This book was released on 2012 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.
Author : James Joseph Kelleher
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (11 download)
Download or read book Rings of Meromorphic Functions on Non-compact Riemann Surfaces written by James Joseph Kelleher and published by . This book was released on 1966 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert C. Gunning
Publisher : Princeton University Press
ISBN 13 : 1400872693
Total Pages : 198 pages
Book Rating : 4.4/5 (8 download)
Download or read book Lectures on Riemann Surfaces written by Robert C. Gunning and published by Princeton University Press. This book was released on 2015-03-08 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and of symmetric products of Riemann surfaces, and so serves as a further introduction to these topics as well. The first chapter consists of a rather explicit description of a canonical basis for the Abelian differentials on a marked Riemann surface, and of the description of the canonical meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the author discusses the relations between Jacobi varieties and symmetric products of Riemann surfaces relevant to the determination of dimensions of spaces of holomorphic cross-sections of complex line bundles. The final chapter derives Torelli's theorem following A. Weil, but in an analytical context. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Dror Varolin
Publisher : American Mathematical Soc.
ISBN 13 : 0821853694
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Riemann Surfaces by Way of Complex Analytic Geometry written by Dror Varolin and published by American Mathematical Soc.. This book was released on 2011-08-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians wanting to work in complex analytic geometry. After three introductory chapters, the book embarks on its central, and certainly most novel, goal of studying Hermitian holomorphic line bundles and their sections. Among other things, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line bundles over Riemann surfaces are proved, with various applications. Perhaps the main result of the book is Hormander's Theorem on the square-integrable solution of the Cauchy-Riemann equations. The crowning application is the proof of the Kodaira and Narasimhan Embedding Theorems for compact and open Riemann surfaces. The intended reader has had first courses in real and complex analysis, as well as advanced calculus and basic differential topology (though the latter subject is not crucial). As such, the book should appeal to a broad portion of the mathematical and scientific community. This book is the first to give a textbook exposition of Riemann surface theory from the viewpoint of positive Hermitian line bundles and Hormander $\bar \partial$ estimates. It is more analytical and PDE oriented than prior texts in the field, and is an excellent introduction to the methods used currently in complex geometry, as exemplified in J. P. Demailly's online but otherwise unpublished book ``Complex analytic and differential geometry.'' I used it for a one quarter course on Riemann surfaces and found it to be clearly written and self-contained. It not only fills a significant gap in the large textbook literature on Riemann surfaces but is also rather indispensible for those who would like to teach the subject from a differential geometric and PDE viewpoint. --Steven Zelditch
Author : Martin Ulrich Schmidt
Publisher : American Mathematical Soc.
ISBN 13 : 082180460X
Total Pages : 127 pages
Book Rating : 4.8/5 (218 download)
Download or read book Integrable Systems and Riemann Surfaces of Infinite Genus written by Martin Ulrich Schmidt and published by American Mathematical Soc.. This book was released on 1996 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.
Author : Kichoon Yang
Publisher : Springer Science & Business Media
ISBN 13 : 9401591512
Total Pages : 208 pages
Book Rating : 4.4/5 (15 download)
Download or read book Meromorphic Functions and Projective Curves written by Kichoon Yang and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact Riemann surface to complex projective space. Our emphasis is on families of meromorphic functions and holomorphic curves. Our approach is more geometric than algebraic along the lines of [Griffiths-Harrisl]. AIso, we have relied on the books [Namba] and [Arbarello-Cornalba-Griffiths-Harris] to agreat exten- nearly every result in Chapters 1 through 4 can be found in the union of these two books. Our primary motivation was to understand the totality of meromorphic functions on an algebraic curve. Though this is a classical subject and much is known about meromorphic functions, we felt that an accessible exposition was lacking in the current literature. Thus our book can be thought of as a modest effort to expose parts of the known theory of meromorphic functions and holomorphic curves with a geometric bent. We have tried to make the book self-contained and concise which meant that several major proofs not essential to further development of the theory had to be omitted. The book is targeted at the non-expert who wishes to leam enough about meromorphic functions and holomorphic curves so that helshe will be able to apply the results in hislher own research. For example, a differential geometer working in minimal surface theory may want to tind out more about the distribution pattern of poles and zeros of a meromorphic function.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 0691079390
Total Pages : 275 pages
Book Rating : 4.6/5 (91 download)
Download or read book Contributions to the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1953-08-21 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author : R.D.M. Accola
Publisher : Springer
ISBN 13 : 354037602X
Total Pages : 109 pages
Book Rating : 4.5/5 (43 download)
Download or read book Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups written by R.D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilhelm Schlag
Publisher : American Mathematical Society
ISBN 13 : 0821898477
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Course in Complex Analysis and Riemann Surfaces written by Wilhelm Schlag and published by American Mathematical Society. This book was released on 2014-08-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.
