
ISBN: 9783642148279
The content of this monograph is situated in the intersection of important branches of mathematics like the theory of one complex variable, algebraic geometry, low dimensional topology and, from the point of view of the techniques used, com- natorial group theory. The main tool comes from the Uniformization Theorem for Riemannsurfaces,whichrelatesthetopologyofRiemannsurfacesandholomorphic or antiholomorphic actions on them to the algebra of classical cocompact Fuchsian groups or, more generally, non-euclidean crystallographic groups. Foundations of this relationship were established by A. M. Macbeath in the early sixties and dev- oped later by, among others, D. Singerman. Another important result in Riemann surface theory is the connection between Riemannsurfacesandtheir symmetrieswith complexalgebraiccurvesandtheirreal forms. Namely, there is a well known functorial bijective correspondence between compact Riemann surfaces and smooth, irreducible complex projective curves. The fact that a Riemann surface has a symmetry means, under this equivalence, that the corresponding complex algebraic curve has a real form, that is, it is the complex- cation of a real algebraic curve. Moreover, symmetries which are non-conjugate in the full group of automorphisms of the Riemann surface, correspond to real forms which are birationally non-isomorphic over the reals. Furthermore, the set of points xedbyasymmetryishomeomorphictoaprojectivesmoothmodeloftherealform. Books > Science & Nature > Math & Physics > Mathematics List_Books, [PU: Springer, Berlin/Heidelberg/New York, NY]
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2010, ISBN: 9783642148279
[ED: Softcover], [PU: Springer / Springer Berlin Heidelberg / Springer, Berlin], This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces. 2010. 2010. xx, 164 S. XX, 164 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)
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2010, ISBN: 9783642148279
Trade paperback, New., Trade paperback (US). Glued binding. 164 p. Contains: Tables, black & white. Lecture Notes in Mathematics, 2007., Berlin, Heidelberg, [PU: Springer]
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2010, ISBN: 9783642148279
Trade paperback, New., Trade paperback (US). Glued binding. Contains: Illustrations, black & white, Tables, black & white. Lecture Notes in Mathematics, 2007., [PU: Springer]
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2010, ISBN: 9783642148279
PF, Neubuch, BRAND NEW BOOK! Shipped within 24-48 hours. Normal delivery time is 5-12 days., [PU: Springer]
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ISBN: 9783642148279
The content of this monograph is situated in the intersection of important branches of mathematics like the theory of one complex variable, algebraic geometry, low dimensional topology an… Mehr…

Cirre, Francisco JavierGamboa, José ManuelBujalance, Emilio:
Symmetries of Compact Riemann Surfaces - Taschenbuch2010, ISBN: 9783642148279
[ED: Softcover], [PU: Springer / Springer Berlin Heidelberg / Springer, Berlin], This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface … Mehr…
2010
ISBN: 9783642148279
Trade paperback, New., Trade paperback (US). Glued binding. 164 p. Contains: Tables, black & white. Lecture Notes in Mathematics, 2007., Berlin, Heidelberg, [PU: Springer]
2010, ISBN: 9783642148279
Trade paperback, New., Trade paperback (US). Glued binding. Contains: Illustrations, black & white, Tables, black & white. Lecture Notes in Mathematics, 2007., [PU: Springer]
2010, ISBN: 9783642148279
PF, Neubuch, BRAND NEW BOOK! Shipped within 24-48 hours. Normal delivery time is 5-12 days., [PU: Springer]
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Detailangaben zum Buch - Symmetries of Compact Riemann Surfaces
EAN (ISBN-13): 9783642148279
ISBN (ISBN-10): 3642148271
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer
158 Seiten
Gewicht: 0,284 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2009-06-13T13:16:10+02:00 (Vienna)
Detailseite zuletzt geändert am 2022-04-02T11:05:51+02:00 (Vienna)
ISBN/EAN: 9783642148279
ISBN - alternative Schreibweisen:
3-642-14827-1, 978-3-642-14827-9
Daten vom Verlag:
Autor/in: Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki
Titel: Lecture Notes in Mathematics; Symmetries of Compact Riemann Surfaces
Verlag: Springer; Springer Berlin
164 Seiten
Erscheinungsjahr: 2010-10-06
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Gewicht: 0,600 kg
Sprache: Englisch
37,40 € (DE)
38,45 € (AT)
50,55 CHF (CH)
POD
XX, 164 p.
BC; Book; Hardcover, Softcover / Mathematik/Analysis; Komplexe Analysis, komplexe Variablen, Funktionentheorie; Verstehen; Mathematik; Automorphism Group; Real form; Riemann Surface; Riemann surfaces; Symmetry; Topological type; B; Functions of a Complex Variable; Algebraic Geometry; Group Theory and Generalizations; Topology; Functions of a Complex Variable; Algebraic Geometry; Group Theory and Generalizations; Topology; Mathematics and Statistics; Algebraische Geometrie; Gruppen und Gruppentheorie; Topologie; EA
Preliminaries.- On the Number of Conjugacy Classes of Symmetries of Riemann Surfaces.- Counting Ovals of Symmetries of Riemann Surfaces.- Symmetry Types of Some Families of Riemann Surfaces.- Symmetry Types of Riemann Surfaces with a Large Group of Automorphisms.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
Neuestes ähnliches Buch:
9783642148286 Symmetries of Compact Riemann Surfaces (Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki)
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