Combinatorics Of Curves On Hurwitz Surfaces

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Combinatorics Of Curves On Hurwitz Surfaces

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Author : Roger Vogeler
language : en
Publisher:
Release Date : 2004

Combinatorics Of Curves On Hurwitz Surfaces written by Roger Vogeler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Automorphisms categories.

Computational Aspects Of Algebraic Curves

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Author : Tanush Shaska
language : en
Publisher: World Scientific
Release Date : 2005-08-24

Computational Aspects Of Algebraic Curves written by Tanush Shaska and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-24 with Mathematics categories.

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.

Combinatorial Algebraic Geometry

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Author : Gregory G. Smith
language : en
Publisher: Springer
Release Date : 2017-11-17

Combinatorial Algebraic Geometry written by Gregory G. Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Mathematics categories.

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.

Applications Of Group Theory To Combinatorics

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Author : Jack Koolen
language : en
Publisher: CRC Press
Release Date : 2008-07-02

Applications Of Group Theory To Combinatorics written by Jack Koolen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-02 with Mathematics categories.

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

Systolic Geometry And Topology

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Author : Mikhail Gersh Katz
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Systolic Geometry And Topology written by Mikhail Gersh Katz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

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.

Combinatorial And Geometric Group Theory

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Author : Sean Cleary
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Combinatorial And Geometric Group Theory written by Sean Cleary and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

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.

Riemann Surfaces And Algebraic Curves

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Author : Renzo Cavalieri
language : en
Publisher: Cambridge University Press
Release Date : 2016-09-26

Riemann Surfaces And Algebraic Curves written by Renzo Cavalieri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Mathematics categories.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

Combinatorial Geometry With Applications To Field Theory Second Edition Graduate Textbook In Mathematics

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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2011

Combinatorial Geometry With Applications To Field Theory Second Edition Graduate Textbook In Mathematics written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Combinatorial geometry categories.

Combinatorial And Additive Number Theory Vi

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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2025-02-21

Combinatorial And Additive Number Theory Vi written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Mathematics categories.

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively. Organized every year since 2003 by the New York Number Theory Seminar at the CUNY Graduate Center, the workshops survey state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. In this volume, the reader will find peer-reviewed and edited papers on current topics in number theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Riemann And Klein Surfaces Automorphisms Symmetries And Moduli Spaces

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Author : Milagros Izquierdo
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-11-21

Riemann And Klein Surfaces Automorphisms Symmetries And Moduli Spaces written by Milagros Izquierdo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-21 with Mathematics categories.

This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.