Motivic Integration and Its Interactions with Model Theory and - London Mathematical Society Lecture Note Volume 383

Informationen zum Autor Raf Cluckers is a Research Associate of the CNRS at Universite de Lille 1! France. Johannes Nicaise is a Professor in the Department of Mathematics at the Katholieke Universiteit Leuven! Belgium. Julien Sebag is a Professor in the UFR Mathematiques at the Universite de Rennes 1! France. Klappentext An overview of different theories of motivic integration and their applications. Zusammenfassung Assembles different theories of motivic integration for the first time! providing all of the necessary background for graduate students and researchers from algebraic geometry! model theory and number theory. In a rapidly-evolving area of research! this volume and Volume 2! which unite the several viewpoints and applications! will prove invaluable. Inhaltsverzeichnis 1. Introduction Raf Cluckers, Johannes Nicaise and Julien Sebag; 2. Introduction to the model theory of valued fields Zoé Chatzidakis; 3. On the definition of rigid analytic spaces Siegfried Bosch; 4. Topological rings in rigid geometry Fumiharu Kato; 5. The Grothendieck ring of varieties Johannes Nicaise and Julien Sebag; 6. A short course on geometric motivic integration Manuel Blickle; 7. Motivic invariants of rigid varieties and applications to complex singularities Johannes Nicaise and Julien Sebag; 8. Motivic integration in mixed characteristic with bounded ramification: a summary Raf Cluckers and François Loeser.

Détails du produit

• Auteurs: Raf Cluckers
• Collaboration: Raf Cluckers (Editeur), Raf (Universite de Lille) Cluckers (Editeur), Johannes Nicaise (Editeur), Johannes (Katholieke Universiteit Leuven Nicaise (Editeur), Julien Sebag (Editeur), Julien (Universite de Rennes I Sebag (Editeur)
• Edition: Cambridge University Press Academic
• Langues: Anglais
• Format d'édition: Livre Broché
• Sortie: 22.09.2011
• EAN: 9780521149761
• ISBN: 978-0-521-14976-1
• Dimensions: 153 mm x 228 mm x 18 mm
• Thèmes: London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Bases