Contemporary Mathematics 2005; 276 pp; softcover Volume: 369 ISBN10: 0821834762 ISBN13: 9780821834763 List Price: US$92 Member Price: US$73.60 Order Code: CONM/369
 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. Readership Graduate students and research mathematicians interested in algebraic geometry. Table of Contents  Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell)
 T. Asanuma  Purely inseparable \(k\)forms of affine algebraic curves
 T. Asanuma, S. M. Bhatwadekar, and N. Onoda  Generic fibrations by \(A^1\) and \(A^*\) over discrete valuation rings
 M. de Bondt and A. van den Essen  Hesse and the Jacobian Conjecture
 P. CassouNoguès  Bad field generators
 V. Drensky  Coordinates in ideals of polynomial algebras
 H. Flenner and M. Zaidenberg  On the uniqueness of \(\mathbb{C}^*\)actions on affine surfaces
 T. Kambayashi and M. Miyanishi  On two recent views of the Jacobian Conjecture
 T. Kishimoto  Singularities on normal affine 3folds containing \(\mathbb{A}^1\)cylinderlike open subsets
 H. Kraft  Free \(\mathbb{C}^+\)actions on affine threefolds
 L. MakarLimanov  Again \(x+x^2y+z^2+t^3=0\)
 K. Masuda and M. Miyanishi  Equivariant cancellation for algebraic varieties
 R. Peretz  Constructing polynomial mappings using noncommutative algebras
 T. Shaska and J. L. Thompson  On the generic curve of genus 3
 I. E. Shparlinski  Orders of points on elliptic curves
 V. Shpilrain and J.T. Yu  Test polynomials, retracts, and the Jacobian conjecture
 D. Wright  The Jacobian Conjecture: ideal membership questions and recent advances
