Ebook: Geometric methods in algebra and number theory
Author: Bogomolov Fedor, Tschinkel Yuri (eds.)
- Genre: Mathematics // Algebra
- Tags: Algebra., Geometry Algebraic., Number theory., Mathematics., Algebraic Geometry., Number Theory., Geometry.
- Year: 2005
- Publisher: Birkhauser
- City: Dordrecht
- Language: English
- pdf
The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, Read more...
Abstract: The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. Key topics include:- Curves and their Jacobians- Algebraic surfaceModuli spaces, Shimura varieties- Motives and motivic integration- Number-the