Cargando…
Affine algebraic geometry - proceedings of the conference.
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, commu...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific,
2013.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Dedication; Bibliography of Masayoshi Miyanishi; CONTENTS; Acyclic curves and group actions on affine toric surfaces; Introduction; 1. Preliminaries; 1.1. Simply connected plane affine curves; 1.2. The automorphism group of the affine plane; 2. Subgroups of de Jonqueres group and stabilizers of plane curves; 2.1. Subgroups of the de Jonqueres group; 2.2. Stabilizers of acyclic plane curves; 3. Acyclic curves on affine toric surfaces; 3.1. Acyclic curves in the smooth locus; 3.2. Acyclic curves through the singular point; 3.3. Acyclic curves as orbit closures.
- 3.4. Reducible acyclic curves on affine toric surfaces4. Automorphism groups of affine toric surfaces; 4.1. Free amalgamated product structure; 4.2. Algebraic groups actions on affine toric surfaces; 5. Acyclic curves and automorphism groups of non-toric quotient surfaces; References; Hirzebruch surfaces and compactifications of C2; 1. Introduction; 2. A proof of Theorem 1.2; 3. A proof of Theorem 1.3; 4. Abhyankar-Moh-Suzuki's theorem; References; Cyclic multiple planes, branched covers of Sn and a result of D. L. Goldsmith; 1. Introduction; 2. Preliminaries; 3. Proof of the Theorem.
- 4. Branched covers of Sn5. Goldsmith's result; References; A1*-fibrations on affine threefolds; Introduction; 1. Preliminaries; 2. A1*-fibration; 3. Homology threefolds with A1-fibrations; 4. Contractible affine threefolds with A1 *-fibrations; References; Acknowledgements; Miyanishi's characterization of singularities appearing on A1-fibrations does not hold in higher dimensions; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.2; 3.1.; 3.2.; 3.2.1.; 3.3.; 3.4.; 3.5.; 3.5.1.; 3.5.2.; 3.6.; 3.6.1.; 3.6.2.; Acknowledgements; References.
- 3. Separation of branches I: The branches are tangent at infinity4. Separation of branches II: The branches separate on the first blowing up; References; Acknowledgements; Abhyankar-Sathaye Embedding Conjecture for a geometric case; 1. Introduction; 2. Preliminaries; 3. Proof of Theorem 1.1; Acknowledgments; References; Some subgroups of the Cremona groups; 1. Introduction; 2. Flattening, linearizability, tori; 3. Subgroups of the rational de Jonquieres groups; 4. Affine subspaces as cross-sections; References; The gonality of singular plane curves II; 1. Introduction; 2. Preliminaries.