Author: Marius V. DabijaPublisher:
ISBN:
Category :
Languages : en
Pages : 342
Book Description
Algebraic and Geometric Dynamics in Several Complex Variables
Author: Marius V. DabijaComplex Algebraic Foliations
Author: Alcides Lins NetoPublisher: de Gruyter
ISBN: 9783110601077
Category : Mathematics
Languages : en
Pages : 0
Book Description
This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and s
Dynamics in Several Complex Variables
Author: John Erik FornæssPublisher: American Mathematical Soc.
ISBN: 0821803174
Category : Mathematics
Languages : en
Pages : 71
Book Description
This CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. the authro's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.
Dynamics in Several Complex Variables
Author: John Erik FornæssPublisher: American Mathematical Soc.
ISBN: 9780821889312
Category : Mathematics
Languages : en
Pages : 74
Book Description
This is part of the CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. These notes provide an easy to read introduction into the field. This monograph then points readers towards technically more advanced literature.
Dynamics in One Complex Variable
Author: John MilnorPublisher: Princeton University Press
ISBN: 1400835534
Category : Mathematics
Languages : en
Pages : 313
Book Description
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.
Complex Analysis
Author: Steven G. KrantzPublisher: Cambridge University Press
ISBN: 9780883850350
Category : Mathematics
Languages : en
Pages : 252
Book Description
Advanced textbook on central topic of pure mathematics.
Arakelov Geometry
Author: Atsushi MoriwakiPublisher: American Mathematical Soc.
ISBN: 1470410745
Category : Mathematics
Languages : en
Pages : 298
Book Description
The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In addition, the author presents, with full details, the proof of Faltings' Riemann-Roch theorem. Prerequisites for reading this book are the basic results of algebraic geometry and the language of schemes.
Moduli Spaces and Arithmetic Dynamics
Author: Joseph H. SilvermanPublisher: American Mathematical Soc.
ISBN: 0821885030
Category : Mathematics
Languages : en
Pages : 151
Book Description
Complex Dynamics and Geometry
Author: Dominique CerveauPublisher: American Mathematical Soc.
ISBN: 9780821832288
Category : Mathematics
Languages : en
Pages : 212
Book Description
In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid development, for example the qualitative theory of differential equations in the complex domain. The meeting, ``Etat de la recherche'', held at Ecole Normale Superieure de Lyon, presented the current state of the art in this area, emphasizing the unity linking the various sub-domains. This volume contains four survey articles corresponding to the talks presented at this meeting. D. Cerveau describes the structure of polynomial differential equations in the complex plane, focusing on the local analysis in neighborhoods of singular points. E. Ghys surveys the theory of laminations by Riemann surfaces which occur in many dynamical or geometrical situations. N. Sibony describes the present state of the generalization of the Fatou-Julia theory for polynomial or rational maps in two or more complex dimensions. Lastly, the talk by J.-C. Yoccoz, written by M. Flexor, considers polynomials of degree $2$ in one complex variable, and in particular, with the hyperbolic properties of these polynomials centered around the Jakobson theorem. This is a general introduction that gives a basic history of holomorphic dynamical systems, demonstrating the numerous and fruitful interactions among the topics. In the spirit of the ``Etat de la recherche de la SMF'' meetings, the articles are written for a broad mathematical audience, especially students or mathematicians working in different fields. This book is translated from the French edition by Leslie Kay.
University of Michigan Official Publication
Author: University of MichiganPublisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 296
Book Description
Each number is the catalogue of a specific school or college of the University.