2010, ISBN: 9783642148279

[ED: Softcover], [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. 2010. 2010. xx, 164 S. 2 Tabellen. 235 mm Sofort lieferbar, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)

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2010, 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. Buch (fremdspr.) Emilio Bujalance#Francisco Javier Cirre#José Manuel Gamboa#Grzegorz Gromadzki Taschenbuch, Springer Berlin, 06.10.2010, Springer Berlin, 2010

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2010, ISBN: 3642148271

[EAN: 9783642148279], Neubuch, [SC: 0.0], [PU: Berlin Springer], REAL FORM, RIEMANN SURFACES, SYMMETRY, TOPOLOGICAL TYPE, AUTOMORPHISM GROUP, SURFACE, Druck auf Anfrage 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. 164 pp. Englisch, Books

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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 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 List_Books, [PU: Springer, Berlin/Heidelberg/New York, NY]

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ISBN: 9783642148279

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2010, ISBN: 9783642148279

[ED: Softcover], [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, algebr… More...

## Emilio Bujalance#Francisco Javier Cirre#José Manuel Gamboa#Grzegorz Gromadzki:

Symmetries of Compact Riemann Surfaces*- Paperback*

2010, 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… More...

2010

## ISBN: 3642148271

[EAN: 9783642148279], Neubuch, [SC: 0.0], [PU: Berlin Springer], REAL FORM, RIEMANN SURFACES, SYMMETRY, TOPOLOGICAL TYPE, AUTOMORPHISM GROUP, SURFACE, Druck auf Anfrage Neuware - The cont… More...

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… More...

ISBN: 9783642148279

Used - Good. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside., 2.5

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** Details of the book - Symmetries of Compact Riemann Surfaces**

EAN (ISBN-13): 9783642148279

ISBN (ISBN-10): 3642148271

Hardcover

Paperback

Publishing year: 2010

Publisher: Springer

158 Pages

Weight: 0,284 kg

Language: eng/Englisch

Book in our database since 2009-06-13T07:16:10-04:00 (New York)

Detail page last modified on 2021-05-01T07:37:00-04:00 (New York)

ISBN/EAN: 9783642148279

ISBN - alternate spelling:

3-642-14827-1, 978-3-642-14827-9

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