Combinatorics of Curves on Hurwitz Surfaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Combinatorics of Curves on Hurwitz Surfaces PDF full book. Access full book title Combinatorics of Curves on Hurwitz Surfaces by Roger Vogeler. Download full books in PDF and EPUB format.
Author: Roger Vogeler
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 46
Get Book Here
Book Description
Author: Roger Vogeler
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 46
Get Book Here
Book Description
Author: Renzo Cavalieri
Publisher: Cambridge University Press
ISBN: 1316798933
Category : Mathematics
Languages : en
Pages : 197
Get Book Here
Book Description
Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.
Author: Tanush Shaska
Publisher: World Scientific
ISBN: 9814479578
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The main goal of this book is to highlight such computational techniques related to algebraic curves. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more.This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations on some Riemann-Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups of polynomials, among other topics.
Author: Jack Koolen
Publisher: CRC Press
ISBN: 0203885767
Category : Mathematics
Languages : en
Pages : 188
Get Book Here
Book Description
Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state
Author: Gregory G. Smith
Publisher: Springer
ISBN: 1493974866
Category : Mathematics
Languages : en
Pages : 391
Get Book Here
Book Description
This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Author: Renzo Cavalieri
Publisher: Cambridge University Press
ISBN: 110714924X
Category : Mathematics
Languages : en
Pages : 197
Get Book Here
Book Description
Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.
Author: Mikhail Gersh Katz
Publisher: American Mathematical Soc.
ISBN: 0821841777
Category : Mathematics
Languages : en
Pages : 238
Get Book Here
Book Description
The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for systoles of surfaces are the two classical inequalities of C. Loewner and P. Pu, relying on integral-geometric identities, in the case of the two-dimensional torus and real projective plane, respectively. Currently, systolic geometry is a rapidly developing field, which studies systolic invariants in their relation to other geometric invariants of a manifold. This book presents the systolic geometry of manifolds and polyhedra, starting with the two classical inequalities, and then proceeding to recent results, including a proof of M. Gromov's filling area conjecture in a hyperelliptic setting. It then presents Gromov's inequalities and their generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups. The author includes results on the systolic manifestations of Massey products, as well as of the classical Lusternik-Schnirelmann category.
Author: Sean Cleary
Publisher: American Mathematical Soc.
ISBN: 0821828223
Category : Mathematics
Languages : en
Pages : 290
Get Book Here
Book Description
This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
Author: European Mathematical Summer School (2001 : St. Petersburg)
Publisher: Springer Science & Business Media
ISBN: 3540403124
Category : Asymptotic expansions
Languages : en
Pages : 245
Get Book Here
Book Description
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1131
Get Book Here
Book Description
