Affine Algebraic Geometry: Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (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. |
Contents
| 1 | |
Purely inseparable kforms of affine algebraic curves | 31 |
Generic fibrations by A1 and A over discrete valuation rings | 47 |
Hesse and the Jacobian Conjecture | 63 |
Bad field generators | 77 |
Coordinates in ideals of polynomial algebras | 85 |
On the uniqueness of Cactions on affine surfaces | 97 |
On two recent views of the Jacobian Conjecture | 113 |
Free c+ actions on affine threefolds | 165 |
Again x + x2y + z2 + t3 0 | 177 |
Equivariant cancellation for algebraic varieties | 183 |
Constructing polynomial mappings using noncommutative algebras | 197 |
On the generic curve of genus 3 | 233 |
Orders of points on elliptic curves | 245 |
Test polynomials retracts and the Jacobian conjecture | 253 |
ideal membership questions and recent advances | 261 |
Other editions - View all
Common terms and phrases
A*-cylinderlike open subset A*-fibration affine line affine space affine variety algebraic group algebraic varieties assertion assume Autº automorphism group birational C*-action coefficients commutative component contains coordinate Corollary defined DEFINITION degree denote dimension divisor dsign elements elliptic curves embedding endomorphism equation equivalent equivariant étale endomorphism Exc(u field finite G-action G-isomorphism G-module genus geometry half-point attachment Hence homogeneous homomorphism implies ind-affine induces integer invariant inverse irreducible isomorphism Jacobian Conjecture k-algebra k-form Kaliman kſa Lemma Let F linear locally nilpotent derivation Makar-Limanov map F Math Mathematics Mathematics Subject Classification matrix Miyanishi moduli morphism nilpotent normal affine surface notations obtain polynomial map polynomial ring prime ideal Proposition prove purely inseparable Q-factorial quotient rational reduced resp result smooth Spec subgroup Supp Suppose surjective symmetric Theorem 2.1 trivial variables y(yu Zaidenberg zero