Advanced Studies in Pure Mathematics: Volume 75

Algebraic Varieties and Automorphism Groups

Proceedings of the Workshop

Workshop on Algebraic Varieties and Automorphism Groups

, Kyoto University, Japan

, 7 – 11 July 2014

https://doi.org/10.1142/e056 | December 2017

Pages: 474

Edited by:
Kayo Masuda (Kwansei Gakuin University, Japan),
Takashi Kishimoto (Saitama University, Japan),
Hideo Kojima (Niigata University, Japan),
Masayoshi Miyanishi (Kwansei Gakuin University, Japan), and
Mikhail Zaidenberg (Université Grenoble Alpes, France)

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ISBN: 978-4-86497-048-8 (hardcover) USD 80.00 Add to cart

This volume is the proceedings of the workshop on "Algebraic Varieties and Automorphism Groups" which was held at RIMS, Kyoto University during July 7–11, 2014.

The volume consists of fifteen original research articles by specialists in fast developing areas of algebraic geometry including various aspects of algebraic varieties (singularities, toric surfaces, weak positivity of log canonical pairs, Fano threefolds with cylinders, etc.), algebraic group actions on algebraic varieties (actions of additive group, unipotent group, semi-abelian variety, etc.), automorphism groups of affine varieties and Cremona groups.

Highly recommended to researchers and graduate students interested in research trends in affine and projective algebraic geometry and algebraic group actions.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Contents:

Log Kodaira Dimension of Homogeneous Varieties (M Brion and D-Q Zhang)
Rational Polynomials of Simple Type: A Combinatorial Proof (P Cassou-Noguès and D Daigle)
Locally Nilpotent Derivations of Rings Graded by an Abelian Group (D Daigle, G Freudenburg and L Moser-Jauslin)
Explicit Biregular/Birational Geometry of Affine Threefolds: Completions of 𝔸³ into Del Pezzo Fibrations and Mori Conic Bundles (A Dubouloz and T Kishimoto)
Notes on the Weak Positivity Theorems (O Fujino)
Unipotent Group Actions on Projective Varieties (R V Gurjar, K Masuda and M Miyanishi)
Cusp Singularities and Quasi-Polyhedral Sets (M Ishida)
One More Proof of the Abhyankar-Moh-Suzuki Theorem (S Kaliman)
Irrational Open Surfaces of Non-Negative Logarithmic Kodaira Dimension (H Kojima)
On Automorphism Groups of Affine Surfaces (S Kovalenko, A Perepechko and M Zaidenberg)
A Variant of Shokurov's Criterion of Toric Surface (N Nakayama)
ℚ-Fano Threefolds with Three Birational Mori Fiber Structures (T Okada)
Bass' Triangulability Problem (V L Popov)
New Examples of Cylindrical Fano Fourfolds (Y Prokhorov and M Zaidenberg)
Amalgamations and Automorphism Groups (D Wright)

Readership: Graduate students in algebraic geometry. Researchers interested in affine algebraic geometry, algebraic group actions and automorphism groups.