**CRM Proceedings & Lecture Notes**

Volume: 54;
2011;
334 pp;
Softcover

MSC: Primary 14; 13;

Print ISBN: 978-0-8218-7283-3

Product Code: CRMP/54

List Price: $125.00

Individual Member Price: $100.00

**Electronic ISBN: 978-1-4704-1588-4
Product Code: CRMP/54.E**

List Price: $125.00

Individual Member Price: $100.00

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# Affine Algebraic Geometry: The Russell Festschrift

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*Daniel Daigle; Richard Ganong; Mariusz Koras*

A co-publication of the AMS and Centre de Recherches Mathématiques

This volume grew out of an international conference which was held in June 2009 at McGill University, in honour of Professor Peter Russell, on the occasion of his 70th birthday and his retirement from McGill. It contains 19 refereed articles, essentially all in the area of affine algebraic geometry and, more specifically, in the following subjects: automorphisms and group actions, surfaces, embeddings of certain rational curves in the affine plane, and problems in positive characteristic geometry. These are also some of the themes running through the very substantial body of work done by Professor Russell in this relatively young branch of algebraic geometry. The volume also includes a foreword, in which Professor Russell shares some personal reminiscences on the development of affine algebraic geometry, a field he describes as “loosely speaking, the study of affine spaces and algebraic varieties closely resembling them.”

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Readership

Graduate students and research mathematicians interested in affine algebraic geometry.

# Table of Contents

## Affine Algebraic Geometry: The Russell Festschrift

- Cover Cover11
- Title page iii4
- Frontispiece v6
- Contents vii8
- Preface ix10
- Foreword xi12
- Biography of Peter Russell (through June, 2011) xiii14
- Bibliography of Peter Russell xv16
- Newton trees at infinity of algebraic curves 120
- Polynomials 𝑓(𝑋,𝑌,𝑍) of low LND-degree 2140
- Corrigendum to our paper "Birational transformations of weighted graphs” 3554
- Bivariate analogues of Chebyshev polynomials with application to embeddings of affine spaces 3958
- The pencil of translates of a line in the plane 5776
- A geometric proof of Boutot’s result on singularities of quotients 7392
- On the present state of the Andersén–Lempert theory 85104
- Group actions on affine cones 123142
- ℂ* in ℂ² is birationally equivalent to a line 165184
- Initial algebras and the Jung–van der Kulk theorem 193212
- Holomorphic curves on irregular varieties of general type starting from surfaces 205224
- Locally nilpotent derivations of affine domains 221240
- Equivariant derivations and additive group actions 231250
- Frobenius sandwiches of affine algebraic surfaces 243262
- Automorphism groups of Koras–Russell threefolds of the first kind 261280
- Recent progress in the geometry of ℚ-acyclic surfaces 271290
- On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties 289308
- Embeddings of hyperbolas 313332
- Groups of Russell type and tango structures 327346
- Back Cover Back Cover1354