Affine Algebraic Geometry: Proceedings Of The Conference, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814436704
  • ISBN-13: 9789814436700
  • DDC: 516.35
  • Grade Level Range: College Freshman - College Senior
  • 352 Pages | eBook
  • Original Copyright 2013 | Published/Released December 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Bibliography of Masayoshi Miyanishi.
1: Acyclic Curves and Group Actions on Affine Toric Surfaces.
2: Hirzebruch Surfaces and Compactifications of ℂ2.
3: Cyclic Multiple Planes, Branched Covers of Sn and a Result of D. L. Goldsmith.
4: A1*-Fibrations on Affine Threefolds.
5: Miyanishi's Characterization of Singularities Appearing on A1-Fibrations Does Not Hold in Higher Dimensions.
6: A Galois Counterexample to Hilbert's Fourteenth Problem in Dimension Three with Rational Coefficients.
7: Open Algebraic Surfaces of Logarithmic Kodaira Dimension One.
8: Some Properties of ℂ* in ℂ2.
9: Abhyankar-Sathaye Embedding Conjecture for a Geometric Case.
10: Some Subgroups of the Cremona Groups.
11: The Gonality of Singular Plane Curves II.
12: Examples of Non-Uniruled Surfaces with Pre-Tango Structures Involving Non-Closed Global Differential 1-Forms.
13: Representations of Ga of Codimension Two.
14: The Projective Characterization of Genus Two Plane Curves Which Have One Place at Infinity.
15: Sextic Variety as Galois Closure Variety of Smooth Cubic.
16: Invariant Hypersurfaces of Endomorphisms of the Projective 3-Space.