Dessins d`Enfants on Riemann Surfaces, Jones Gareth A., Wolfart Jьrgen

Автор: Jones, Gareth A., Wolfart, J?rgen
Название: Dessins d`Enfants on Riemann Surfaces
ISBN: 3319247093 ISBN-13(EAN): 9783319247090
Издательство: Springer
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Цена: 79190.00 T
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Описание: This volume provides an introduction to dessins d`enfants and embeddings of bipartite graphs in compact Riemann surfaces.

Автор: Alex Degtyarev
Название: Topology of Algebraic Curves: An Approach via Dessins d`Enfants
ISBN: 311025591X ISBN-13(EAN): 9783110255911
Издательство: Walter de Gruyter
Цена: 198290.00 T
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Описание: This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The approach relies on a close relation between trigonal curves/elliptic surfaces, a certain class of ribbon graphs, and subgroups of the modular group, which provides a combinatorial framework for the study of geometric objects. A brief summary of the necessary auxiliary results and techniques used and a background of the principal problems dealt with are included in the text. The book is intended to researchers and graduate students in the field of topology of complex and real algebraic varieties.

Автор: Neumann Frank, Schroll Sibylle
Название: Galois Covers, Grothendieck-Teichmьller Theory and Dessins d`Enfants: Interactions Between Geometry, Topology, Number Theory and Algebra, Leicester, U
ISBN: 3030517942 ISBN-13(EAN): 9783030517946
Издательство: Springer
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Цена: 149060.00 T
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Описание: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on `Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd`Enfants`, which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

Автор: Gunning Robert C.
Название: Lectures on Riemann Surfaces: Jacobi Varieties
ISBN: 0691619255 ISBN-13(EAN): 9780691619255
Издательство: Wiley
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Цена: 36960.00 T
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Описание: 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 pres

Автор: Ketcheson, David I. Leveque, Randall J. Razo, Mauricio J. Del
Название: Riemann problems and jupyter solutions
ISBN: 1611976200 ISBN-13(EAN): 9781611976205
Издательство: Mare Nostrum (Eurospan)
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Цена: 51410.00 T
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Описание: This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.

Автор: Paraskevas Alvanos
Название: Riemann-Roch Spaces and Computation
ISBN: 3110426137 ISBN-13(EAN): 9783110426137
Издательство: Walter de Gruyter
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Цена: 49530.00 T
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Описание: The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases.

Автор: Maurice Heins
Название: Hardy Classes on Riemann Surfaces
ISBN: 3540046178 ISBN-13(EAN): 9783540046172
Издательство: Springer
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Цена: 23250.00 T
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Автор: Oleg K. Sheinman
Название: Current Algebras on Riemann Surfaces
ISBN: 3110263963 ISBN-13(EAN): 9783110263961
Издательство: Walter de Gruyter
Цена: 126570.00 T
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Описание: This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications.The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.

Автор: M. Hasumi
Название: Hardy Classes on Infinitely Connected Riemann Surfaces
ISBN: 3540127291 ISBN-13(EAN): 9783540127291
Издательство: Springer
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Цена: 32560.00 T
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Автор: Gustafsson Bjцrn, Lin Yu-Lin
Название: Laplacian Growth on Branched Riemann Surfaces
ISBN: 3030698629 ISBN-13(EAN): 9783030698621
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book studies solutions of the Polubarinova-Galin and Loewner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.

Автор: Y. Rodin
Название: The Riemann Boundary Problem on Riemann Surfaces
ISBN: 9027726531 ISBN-13(EAN): 9789027726537
Издательство: Springer
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Цена: 88500.00 T
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Автор: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 1461273919 ISBN-13(EAN): 9781461273912
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. 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.