Springer Proceedings in Mathematics & Statistics

Automorphisms in Birational and Affine Geometry

Levico Terme, Italy, October 2012

Editors: Cheltsov, I., Ciliberto, C., Flenner, H., McKernan, J., Prokhorov, Y.G., Zaidenberg, M. (Eds.)

  • 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
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Hardcover $169.00
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  • ISBN 978-3-319-05680-7
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Softcover $169.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-34749-3
  • Free shipping for individuals worldwide
Rent the ebook  
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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.

Table of contents (27 chapters)

  • Singular del Pezzo Fibrations and Birational Rigidity

    Ahmadinezhad, Hamid

    Pages 3-15

  • Additive Actions on Projective Hypersurfaces

    Arzhantsev, Ivan (et al.)

    Pages 17-33

  • Cremona Groups of Real Surfaces

    Blanc, Jérémy (et al.)

    Pages 35-58

  • On Automorphisms and Endomorphisms of Projective Varieties

    Brion, Michel

    Pages 59-81

  • Del Pezzo Surfaces and Local Inequalities

    Cheltsov, Ivan

    Pages 83-101

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-05681-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-05680-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-34749-3
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Volume
79
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05681-4
DOI
10.1007/978-3-319-05681-4
Hardcover ISBN
978-3-319-05680-7
Softcover ISBN
978-3-319-34749-3
Series ISSN
2194-1009
Edition Number
1
Number of Pages
IX, 518
Number of Illustrations and Tables
21 b/w illustrations
Topics