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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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Emilio Bujalance:
Symmetries of Compact Riemann Surfaces - Taschenbuch

6, 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., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 233x157x15 mm, 158, [GW: 284g], Banküberweisung, PayPal

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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 Book, Springer Science+Business Media

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Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki:
Symmetries of Compact Riemann Surfaces als Buch von Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki - gebunden oder broschiert

ISBN: 9783642148279

ID: 126566330

Symmetries of Compact Riemann Surfaces: Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki Symmetries of Compact Riemann Surfaces: Emilio Bujalance, Francisco Javier Cirre, José Manuel Gamboa, Grzegorz Gromadzki Bücher > Wissenschaft > Mathematik, Springer-Verlag GmbH

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

2010, ISBN: 3642148271

ID: A10036171

Kartoniert / Broschiert Algebraische Geometrie, Geometrie / Algebraische Geometrie, Differenzialtopologie ( Topologie ), Topologie - Differenzialtopologie, mit Schutzumschlag neu, [PU:Springer-Verlag GmbH; Springer Berlin]