Elliptic surfaces: monodromy groups and structure of moduli - Couverture souple

Petrov, Tihomir

 
9783639215168: Elliptic surfaces: monodromy groups and structure of moduli
Couverture souple
ISBN 10 : 3639215168 ISBN 13 : 9783639215168
Editeur : VDM Verlag Dr. Müller, 2009

Synopsis

Elliptic surfaces play a prominent role in the classification of algebraic surfaces and fit well within the general theory. In fact, they admit relatively simple foundations which in particular do not require too many prerequisites. Yet elliptic surfaces are endowed with many different applications for several areas of research, such as lattice theory, singularities, group theory, and modular curves. Our aim is to present some recent advances in studying the structure of parameter (or moduli) spaces of elliptic surfaces. We introduce a combinatorial description which involves special graphs and triangulations embedded into the sphere in the spirit of the famous Belyi theorem. This construction allows a relatively transparent description of a rather complicated set of global monodromy groups of elliptic surfaces. In this way the general results of Kodaira theory are transformed to a concrete computational tool.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Elliptic surfaces play a prominent role in the classification of algebraic surfaces and fit well within the general theory. In fact, they admit relatively simple foundations which in particular do not require too many prerequisites. Yet elliptic surfaces are endowed with many different applications for several areas of research, such as lattice theory, singularities, group theory, and modular curves. Our aim is to present some recent advances in studying the structure of parameter (or moduli) spaces of elliptic surfaces. We introduce a combinatorial description which involves special graphs and triangulations embedded into the sphere in the spirit of the famous Belyi theorem. This construction allows a relatively transparent description of a rather complicated set of global monodromy groups of elliptic surfaces. In this way the general results of Kodaira theory are transformed to a concrete computational tool.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2009
Langue
anglais
ISBN 10 
3639215168
ISBN 13 
9783639215168
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
non disponible