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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: 476425caada4123df4ad96733a7c3bfe

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. 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-642-14827-9, Springer

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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: 736196680

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. 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. Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Symmetries of Compact Riemann Surfaces - Emilio Bujalance
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Emilio Bujalance:
Symmetries of Compact Riemann Surfaces - Taschenbuch

2010, ISBN: 3642148271

ID: 7197146677

[EAN: 9783642148279], Neubuch, [PU: Springer-Verlag Gmbh Okt 2010], ALGEBRAISCHE GEOMETRIE; GEOMETRIE / DIFFERENZIALTOPOLOGIE ( TOPOLOGIE ); -, Neuware - 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. 158 pp. Englisch

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Emilio Bujalance:
Symmetries of Compact Riemann Surfaces - Taschenbuch

ISBN: 9783642148279

[ED: Taschenbuch], [PU: Springer-Verlag GmbH], Neuware - 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. -, [SC: 0.00], Neuware, gewerbliches Angebot, 233x157x15 mm, [GW: 284g]

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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:
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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 Book, Springer Science+Business Media

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Details zum Buch
Symmetries of Compact Riemann Surfaces
Autor:

Bujalance, Emilio; Cirre, Francisco Javier; Gamboa, José Manuel; Gromadzki, Grzegorz

Titel:

Symmetries of Compact Riemann Surfaces

ISBN-Nummer:

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 04.04.2017 13:45:54
ISBN/EAN: 3642148271

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


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