**Contemporary Mathematics**

Volume: 369;
2005;
276 pp;
Softcover

MSC: Primary 14; 13; 12;

Print ISBN: 978-0-8218-3476-3

Product Code: CONM/369

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-7959-7
Product Code: CONM/369.E**

List Price: $92.00

Individual Member Price: $73.60

# Affine Algebraic Geometry

Share this page *Edited by *
*Jaime Gutierrez; Vladimir Shpilrain; Jie-Tai Yu*

A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matemática Española (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session.

The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.

#### Table of Contents

# Table of Contents

## Affine Algebraic Geometry

- Contents v6 free
- Preface vii8 free
- Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell) 110 free
- Purely inseparable k-forms of affine algebraic curves 3140
- Generic fibrations by A1 and A* over discrete valuation rings 4756
- Hesse and the Jacobian Conjecture 6372
- Bad field generators 7786
- Coordinates in ideals of polynomial algebras 8594
- On the uniqueness of C*-actions on affine surfaces 97106
- On two recent views of the Jacobian Conjecture 113122
- Singularities on normal affine 3-folds containing A1-cylinderlike open subsets 139148
- Free c+ -actions on affine threefolds 165174
- Again x + x2y + z2 + t3 = 0 177186
- Equivariant cancellation for algebraic varieties 183192
- Constructing polynomial mappings using non-commutative algebras 197206
- On the generic curve of genus 3 233242
- Orders of points on elliptic curves 245254
- Test polynomials, retracts, and the Jacobian conjecture 253262
- The Jacobian Conjecture: ideal membership questions and recent advances 261270

#### Readership

Graduate students and research mathematicians interested in algebraic geometry.