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Author : Aldo Andreotti
Publisher : Springer
ISBN 13 : 3540369953
Total Pages : 393 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analytic and Algebraic Dependence of Meromorphic Functions written by Aldo Andreotti and published by Springer. This book was released on 2006-11-15 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aldo Andreotti
Publisher :
ISBN 13 : 9783662207185
Total Pages : 400 pages
Book Rating : 4.2/5 (71 download)
Download or read book Analytic and Algebraic Dependence of Meromorphic Functions written by Aldo Andreotti and published by . This book was released on 2014-09-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fred Gross
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Factorization of Meromorphic Functions written by Fred Gross and published by . This book was released on 1973 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pei-Chu Hu
Publisher : Springer Science & Business Media
ISBN 13 : 1475737750
Total Pages : 472 pages
Book Rating : 4.4/5 (757 download)
Download or read book Unicity of Meromorphic Mappings written by Pei-Chu Hu and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna [188] himself proved that for two nonconstant meromorphic func tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.
Author : Raghavan Narasimhan
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to the Theory of Analytic Spaces written by Raghavan Narasimhan and published by Lecture Notes in Mathematics. This book was released on 1966 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Klaus Fritzsche
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953953
Total Pages : 424 pages
Book Rating : 4.9/5 (539 download)
Download or read book From Holomorphic Functions to Complex Manifolds written by Klaus Fritzsche and published by Springer Science & Business Media. This book was released on 2002-04-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.
Author : Heinrich G W Begehr
Publisher : World Scientific
ISBN 13 : 9814485233
Total Pages : 1557 pages
Book Rating : 4.8/5 (144 download)
Download or read book Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) written by Heinrich G W Begehr and published by World Scientific. This book was released on 2003-08-04 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Author : A. Beck
Publisher : Springer
ISBN 13 : 3540384146
Total Pages : 290 pages
Book Rating : 4.5/5 (43 download)
Download or read book Recent Advances in Topological Dynamics written by A. Beck and published by Springer. This book was released on 2006-12-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rick Miranda
Publisher : American Mathematical Soc.
ISBN 13 : 0821802682
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Curves and Riemann Surfaces written by Rick Miranda and published by American Mathematical Soc.. This book was released on 1995 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1620 pages
Book Rating : 4.F/5 ( download)
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1973 with total page 1620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Dold
Publisher : Springer
ISBN 13 : 1489945814
Total Pages : 82 pages
Book Rating : 4.4/5 (899 download)
Download or read book An Index and Other Useful Information written by A. Dold and published by Springer. This book was released on 2013-12-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.:/5 (35 download)
Download or read book American Journal of Mathematics written by and published by . This book was released on 1960 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Author : Wilhelm Stoll
Publisher : Princeton University Press
ISBN 13 : 1400881889
Total Pages : 128 pages
Book Rating : 4.4/5 (8 download)
Download or read book Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 written by Wilhelm Stoll and published by Princeton University Press. This book was released on 2016-03-02 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.
Author : Aldo Andreotti
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.F/5 ( download)
Download or read book Nine Lectures on Complex Analysis written by Aldo Andreotti and published by . This book was released on 1972 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Ueno
Publisher : Springer
ISBN 13 : 3540374159
Total Pages : 296 pages
Book Rating : 4.5/5 (43 download)
Download or read book Classification Theory of Algebraic Varieties and Compact Complex Spaces written by K. Ueno and published by Springer. This book was released on 2006-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian Lawrynowicz
Publisher : Springer Science & Business Media
ISBN 13 : 940092643X
Total Pages : 347 pages
Book Rating : 4.4/5 (9 download)
Download or read book Deformations of Mathematical Structures written by Julian Lawrynowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87
