TY - BOOK AU - Gutierrez,Jaime AU - Shpilrain,Vladimir AU - Yu,Jie-Tai TI - Affine Algebraic Geometry T2 - Contemporary Mathematics SN - 9780821879597 AV - QA564 -- .A332 2005eb U1 - 516.3/5 PY - 2005/// CY - Providence PB - American Mathematical Society KW - Geometry, Algebraic -- Congresses KW - Geometry, Affine -- Congresses KW - Electronic books N1 - Intro -- Contents -- Preface -- Open problems in affine algebraic geometry (collected by G. Freudenburg and P. Russell) -- Purely inseparable k-forms of affine algebraic curves -- Generic fibrations by A1 and A* over discrete valuation rings -- Hesse and the Jacobian Conjecture -- Bad field generators -- Coordinates in ideals of polynomial algebras -- On the uniqueness of C*-actions on affine surfaces -- On two recent views of the Jacobian Conjecture -- Singularities on normal affine 3-folds containing A1-cylinderlike open subsets -- Free c+ -actions on affine threefolds -- Again x + x2y + z2 + t3 = 0 -- Equivariant cancellation for algebraic varieties -- Constructing polynomial mappings using non-commutative algebras -- On the generic curve of genus 3 -- Orders of points on elliptic curves -- Test polynomials, retracts, and the Jacobian conjecture -- The Jacobian Conjecture: ideal membership questions and recent advances -- 1. The Jacobian Conjecture -- 2. Ideals Defining the Jacobian Condition -- 3. Formulas for the Formal Inverse -- 4. Ideal Membership Results -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113130 ER -