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Symmetries of Compact Riemann Surfaces  Emilio Bujalance  Taschenbuch  Lecture Notes in Mathematics  Englisch  2010 - Bujalance, Emilio
(*)
Bujalance, Emilio:
Symmetries of Compact Riemann Surfaces Emilio Bujalance Taschenbuch Lecture Notes in Mathematics Englisch 2010 - Taschenbuch

2010, ISBN: 9783642148279

[ED: Taschenbuch], [PU: Springer Berlin], 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., DE, Neuware, gewerbliches Angebot, 158, [GW: 284g], sofortueberweisung.de, PayPal, Banküberweisung

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Symmetries of Compact Riemann Surfaces  Emilio Bujalance  Taschenbuch  Lecture Notes in Mathematics  Englisch  2010 - Bujalance, Emilio
(*)
Bujalance, Emilio:
Symmetries of Compact Riemann Surfaces Emilio Bujalance Taschenbuch Lecture Notes in Mathematics Englisch 2010 - Taschenbuch

2010, ISBN: 9783642148279

[ED: Taschenbuch], [PU: Springer Berlin], 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., DE, Neuware, gewerbliches Angebot, 158, [GW: 284g], sofortueberweisung.de, PayPal, Banküberweisung

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Symmetries of Compact Riemann Surfaces - Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki
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Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki:
Symmetries of Compact Riemann Surfaces - neues Buch

ISBN: 9783642148279

ID: 9783642148279

Mathematics; Functions of a Complex Variable; Algebraic Geometry; Group Theory and Generalizations; Topology Automorphism Group, Real form, Riemann Surface, Riemann surfaces, Symmetry, Topological type Books, Springer Shop

 Springer.com
This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces. Versandkosten:zzgl. Versandkosten.
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Symmetries of Compact Riemann Surfaces - Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki
(*)
Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki:
Symmetries of Compact Riemann Surfaces - Taschenbuch

2010, ISBN: 3642148271

ID: 12012192

Symmetries of Compact Riemann Surfaces ab 37.49 € als Taschenbuch: Lecture Notes in Mathematics. Auflage 2010. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher, Springer-Verlag GmbH

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Symmetries of Compact Riemann Surfaces - Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki
(*)
Emilio Bujalance; Francisco Javier Cirre; José Manuel Gamboa; Grzegorz Gromadzki:
Symmetries of Compact Riemann Surfaces - Taschenbuch

2010, ISBN: 9783642148279

ID: 14333355

2010, Softcover, Buch, [PU: Springer Berlin]

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Details zum Buch
Symmetries of Compact Riemann Surfaces

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.

Detailangaben zum Buch - Symmetries of Compact Riemann Surfaces


EAN (ISBN-13): 9783642148279
ISBN (ISBN-10): 3642148271
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
158 Seiten
Gewicht: 0,284 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 13.06.2009 13:16:10
Buch zuletzt gefunden am 25.01.2019 14:00:22
ISBN/EAN: 9783642148279

ISBN - alternative Schreibweisen:
3-642-14827-1, 978-3-642-14827-9


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