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

Orellfuessli.ch Nr. 22919560. Shipping costs:, Versandfertig innert 4 - 7 Werktagen, zzgl. Versandkosten. (EUR 16.69) Details... |

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.; Science & Nature, Springer

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2010, ISBN: 3642148271

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 Berlin

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2010, ISBN: 9783642148279

2010-10-06 Springer Berlin, Springer Berlin, 2010-10-06

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2010, ISBN: 9783642148279

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

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

Symmetries of Compact Riemann Surfaces (Lecture Notes in Mathematics)*- new book*

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...

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2010

## ISBN: 3642148271

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… More...

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2010, ISBN: 9783642148279

2010-10-06 Springer Berlin, Springer Berlin, 2010-10-06

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2010, ISBN: 9783642148279

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

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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 Berlin

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 2020-10-23T09:43:09-04:00 (New York)

ISBN/EAN: 9783642148279

ISBN - alternate spelling:

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

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