Affine Algebraic Geometry.
Gutierrez, Jaime.
Affine Algebraic Geometry. - 1st ed. - 1 online resource (288 pages) - Contemporary Mathematics ; v.369 . - Contemporary Mathematics .
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.
9780821879597
Geometry, Algebraic -- Congresses.
Geometry, Affine -- Congresses.
Electronic books.
QA564 -- .A332 2005eb
516.3/5
Affine Algebraic Geometry. - 1st ed. - 1 online resource (288 pages) - Contemporary Mathematics ; v.369 . - Contemporary Mathematics .
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.
9780821879597
Geometry, Algebraic -- Congresses.
Geometry, Affine -- Congresses.
Electronic books.
QA564 -- .A332 2005eb
516.3/5