Editors:
- Presents original research and valuable overview on topics such as Cremona groups, birational rigidity, dynamics of automorphisms, and algebraic group actions
- Features articles by leading specialists in the field
- Compares and contrasts different views on the problem ?of describing the automorphism groups of affine and projective varieties
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 79)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (27 papers)
-
Front Matter
-
Birational Automorphisms
-
Front Matter
-
-
Automorphisms of Affine Varieties
-
Front Matter
-
About this book
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics.
Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.
Editors and Affiliations
-
School of Mathematics, University of Edinburgh, Edinburgh, United Kingdom
Ivan Cheltsov
-
Department of Mathematics, University of Rome Tor Vergata, Rome, Italy
Ciro Ciliberto
-
Faculty of Mathematics, Ruhr University Bochum, Bochum, Germany
Hubert Flenner
-
Department of Mathematics, University of California San Diego, La Jolla, USA
James McKernan
-
Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Yuri G. Prokhorov
-
Institute Fourier, UMR 5582, CNRS-UJF, University of Grenoble I, Saint Martin D’Hères, France
Mikhail Zaidenberg
Bibliographic Information
Book Title: Automorphisms in Birational and Affine Geometry
Book Subtitle: Levico Terme, Italy, October 2012
Editors: Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, Mikhail Zaidenberg
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-05681-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-05680-7Published: 24 June 2014
Softcover ISBN: 978-3-319-34749-3Published: 17 September 2016
eBook ISBN: 978-3-319-05681-4Published: 11 June 2014
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: IX, 518
Number of Illustrations: 21 b/w illustrations
Topics: Algebraic Geometry