Last edited by Tauzragore
Tuesday, May 5, 2020 | History

2 edition of theory of meromorphic curves. found in the catalog.

theory of meromorphic curves.

Lars Valerian Ahlfors

# theory of meromorphic curves.

## by Lars Valerian Ahlfors

Published in Helsingfors .
Written in English

Subjects:
• Functions, Meromorphic.,
• Curves, Algebraic.

• Edition Notes

Classifications The Physical Object Series Acta Societatis Scientiarum Fennicae. Nova series A,, t. 3, n:o 4, Acta Societatis Scientiarum Fennicae., tom. 3, n:o 4. LC Classifications Q60 .F52 t. 3, n:o 4, QA331 .F52 t. 3, n:o 4 Pagination 31 p. Number of Pages 31 Open Library OL192878M LC Control Number a 48002325

a meromorphic function omitting three values in the extended complex plane C is constant. The modern theory of meromorphic functions started with attempts to give an \elementary proof" of this theorem. These attempts culminated in R. Nevanlinna’s theory which was published rst in Nevanlinna’s books . In the book "Complex Algebraic Curves", Frances Kirwan gives the following definition of a meromorphic differential on a Riemann surface. Definition. Let $\{\phi_\alpha:U_\alpha\rightarrow V_\al. of functions (meromorphic functions in arbitrary plane regions and Riemann sur-faces, algebroid functions, functions of several variables, meromorphic curves), and also its applications, mainly to the analytic theory of di erential equations. In this book, the . Quasi-Relaxation Transforms, Meromorphic Curves and Hereditary Integrals of the Stress-Deformation Tensor to Metallic Specimens Francisco Bulnes, Yuri Stropovsvky, “Theory of Dislocations,” McGraw-Hill Book Company, Institute of Physics, Oslo University, New York, Author: Francisco Bulnes, Yuri Stropovsvky, Viacheslav Yermishkin. Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share . In North-Holland Mathematics Studies, Rolf Nevanlinna's theory of meromorphic functions which dates to has been called by Walter Hayman, the most important occurrence in function theory during the twentieth century. It can be viewed as an extension to meromorphic functions of the sort of theory discussed in the preceding chapter for entire functions, where the logarithm of the. 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Juvenile mental arithmetic Juvenile mental arithmetic Korea and Britain tomorrow Korea and Britain tomorrow Green hand Green hand ### Theory of meromorphic curves by Lars Valerian Ahlfors Download PDF EPUB FB2 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 : Kichoon Yang. About this book. About this book. 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 Brand: Springer Netherlands. Complex Analysis I: Entire and Meromorphic Functions, Polyanalytic Functions and Their Generalizations (Encyclopaedia of Mathematical Sciences, ) Nevanlinna Theory, meromorphic curves, cluster set theory, functions of several complex variables etc. Enter your mobile number or email address below and we'll send you a link to download the Cited by: 1. 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 theory of meromorphic curves. book meromorphic functions and holomorphic curves. 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 : Kichoon Yang. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Lars V. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Ser. 3 (), no. 4, MR Cartan, H.: Sur les zeros des combinaisions. This book with nine chapters systematically describes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 to the current state of research. Then the theory of entire curves in semi-abelian. Basic Theory 1 We shall develop in this course Nevanlinna’s theory of meromorphic functions. This theory has proved a tool of unparallelled precision for the study of the roots of equations f(z) = a, f(1)(z) = b, etc. whether single or multiple and their relative frequency. Basic to this study is the. The theory of meromorphic curves. [Lars V Ahlfors] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book\/a>, schema:CreativeWork\/a> ; \u00A0\u00A0\u00A0\n library. The description for this book, Meromorphic Functions and Analytic Curves. (AM), will be forthcoming. The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rolf. Meromorphic Functions and Analytic Curves. (AM) Hermann Weyl. Paperback ISBN:$90/£ The description for this book, Meromorphic Functions and Analytic Curves.

(AM), will be forthcoming. Related Books Infinity and the Mind Rudy Rucker; Calculus Reordered. In its original form, Nevanlinna theory deals with meromorphic functions of one complex variable defined in a disc |z| ≤ R or in the whole complex plane (R = ∞). Subsequent generalizations extended Nevanlinna theory to algebroid functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregular maps and minimal surfaces.

This book grew out of the author’s notes for the complex analysis algebraic aspect such as elliptic curves. The author feels that those students who wish theory of meromorphic functions on these tori (doubly periodic or elliptic functions).File Size: 1MB.

This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results.

Description: This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses.

Developed by R. Nevanlinna, a Finnish mathematician, early in the 's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. chapter iii the second main theorem for meromorphic curves (pp.

) We return to the general theory of meromorphic curves and propose to develop the analogue of Plücker’s formulas. Book Description: This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables.

The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The theory involved in producing meromorphic functions for an unknown compact Riemann surface is rather technical analysis and functional analysis. After one has access to meromorphic functions, however, the theory is completely algebraic, or at least can be made to be so.

I've seen this claim a number of other places as well. This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.

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.

Polyanalytic functions have many points of contact with such fields of analysis as polyharmonic functions, Nevanlinna Theory, meromorphic curves, cluster set theory, functions of several complex variables etc.Meromorphic functions of several complex variables. Let be a domain in (or an -dimensional complex manifold) and let be a (complex-) analytic subset of codimension one (or empty).

A holomorphic function defined on is called a meromorphic function in if for every point one can find an arbitrarily small neighbourhood of in and functions holomorphic in without common non-invertible factors in.