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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces
  • Language: en
  • Pages: 362

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

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.

Algebraic Curves and Their Applications
  • Language: en
  • Pages: 344

Algebraic Curves and Their Applications

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography. This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

Symmetries in Graphs, Maps, and Polytopes
  • Language: en
  • Pages: 332

Symmetries in Graphs, Maps, and Polytopes

  • Type: Book
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  • Published: 2016-03-26
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  • Publisher: Springer

This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d’enfant.Providing the global community of researchers in the field with the opportunity to gather, converse and present their newest findings and advances, the Symmetries In Graphs, Maps, and Polytopes Workshop 2014 was the fifth in a series of workshops. The initial workshop, organized by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and 2006 by two meetings held in Aveiro, Portugal, organized by Antonio Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, organized by Isabel Hubard in 2010.This book should appeal to both specialists and those seeking a broad overview of what is happening in the area of symmetries of discrete objects and structures.iv>

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics
  • Language: en
  • Pages: 366

Automorphisms of Riemann Surfaces, Subgroups of Mapping Class Groups and Related Topics

Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.

Advances on Superelliptic Curves and Their Applications
  • Language: en
  • Pages: 387

Advances on Superelliptic Curves and Their Applications

  • Type: Book
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  • Published: 2015-07-16
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  • Publisher: IOS Press

This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties
  • Language: en
  • Pages: 282

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.

Linguistic Bibliography for the Year 2000 / Bibliographie Linguistique de l'Année 2000
  • Language: en
  • Pages: 1674

Linguistic Bibliography for the Year 2000 / Bibliographie Linguistique de l'Année 2000

Bibliographie Linguistique/ Linguistic Bibliography is the annual bibliography of linguistics published by the Permanent International Committee of Linguists under the auspices of the International Council of Philosophy and Humanistic Studies of UNESCO. With a tradition of more than fifty years (the first two volumes, covering the years 1939-1947, were published in 1949-1950), Bibliographie Linguistique is by far the most comprehensive bibliography in the field. It covers all branches of linguistics, both theoretical and descriptive, from all geographical areas, including less known and extinct languages, with particular attention to the many endangered languages of the world. Up-to-date information is guaranteed by the collaboration of some forty contributing specialists from all over the world. With over 20,000 titles arranged according to a detailed state-of-the-art classification, Bibliographie Linguistique remains the standard reference book for every scholar of language and linguistics.

Transcultural Diplomacy and International Law in Heritage Conservation
  • Language: en
  • Pages: 435

Transcultural Diplomacy and International Law in Heritage Conservation

This book provides a substantial contribution to understanding the international legal framework for the protection and conservation of cultural heritage. It offers a range of perspectives from well-regarded contributors from different parts of the world on the impact of law in heritage conservation. Through a holistic approach, the authors bring the reader into dialogue around the intersection between the humanities and legal sciences, demonstrating the reciprocity of interaction in programs and projects to enhance cultural heritage in the world. This edited volume compiles a selection of interesting reflections on the role of cultural diplomacy to address intolerances that often govern int...

Cultural Terms in King Alfred's Translation of the Consolatio Philosophiae
  • Language: en
  • Pages: 226

Cultural Terms in King Alfred's Translation of the Consolatio Philosophiae

This is a shortened versión of my doctoral thesis which examines cultural words in Latin and their translation into Old English. To this end, a definition and classification of cultural words is offered and applied to the study of King Alfred’s translation of the ‘Consolidatio Philosophiae’. Alfred’s method of translation is explored in the light of the skopos theory and assessed in terms of adequacy to the socio-cultural and political context of 9th century Anglo-Saxon Wessex. Naturally, the initial format of the thesis has been made so as to facilitate reading for a more general public.

Geometry of Riemann Surfaces
  • Language: en
  • Pages: 416

Geometry of Riemann Surfaces

Original research and expert surveys on Riemann surfaces.