Affine Algebraic Geometry - Proceedings Of The Conference

by Kayo Masuda (Editor), Hideo Kojima (Editor), Takashi Kishimoto (Editor)

Overview

The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. It contains 16 refereed articles in the areas of affine algebraic geometry, commutative algebra and related fields, which have been the working fields of Professor Miyanishi for almost 50 years. Readers will be able to find recent trends in these areas too. The topics contain both algebraic and analytic, as well as both affine and projective, problems. All the results treated in this volume are new and original which subsequently will provide fresh research problems to explore. This volume is suitable for graduate students and researchers in these areas.

Product Details

ISBN-13:	9789814436694
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	07/24/2013
Pages:	352
Product dimensions:	5.90(w) x 9.10(h) x 0.90(d)

Table of Contents

Dedication vii

Preface ix

Bibliography of Masayoshi Miyanishi xi

Acyclic curves and group actions on affine toric surfaces Ivan Arzhantsev Mikhail Zaidenberg 1

Hirzebruch surfaces and compactifications of C² M. Furushima A. Ishida 42

Cyclic multiple planes, branched covers of Sⁿ and a result of D. L. Goldsmith R. V. Gurjar 52

A¹_∗-fibrations on affine threefolds R. V. Gurjar M. Koras K. Masuda M. Miyanishi P. Russell 62

Miyanishi's characterization of singularities appearing on A¹-fibrations does not hold in higher dimensions Takashi Kishimoto 103

A Galois counterexample to Hubert's Fourteenth Problem in dimension three with rational coefficients Ei Kobayashi Shigeru Kuroda 128

Open algebraic surfaces of logarithmic Kodaira dimension one Hideo Kojima 135

Some properties of C∗ in C² M. Koras P. Russell 160

Abhyankar-Sathaye Embedding Conjecture for a geometric case Tomoaki Ohta 198

Some subgroups of the Cremona groups Vladimir L. Popov 213

The gonality of singular plane curves II Fumio Sakai 243

Examples of non-uniruled surfaces with pre-Tango structures involving non-closed global differential 1-forms Yoshifumi Takeda 267

Representations of G_a of codimension two Ryuji Tanimoto 279

The projective characterization of genus two plane curves which have one place at infinity Keita Tono 285

Sextic variety as Galois closure variety of smooth cubic Hisao Yoshihara 300

Invariant hypersurfaces of endomorphisms of the projective 3-space De-Qi Zhang 314