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Affine Algebraic Geometry.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2005Copyright date: ©2005Edition: 1st edDescription: 1 online resource (288 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879597
Subject(s): Genre/Form: Additional physical formats: Print version:: Affine Algebraic GeometryDDC classification:
  • 516.3/5
LOC classification:
  • QA564 -- .A332 2005eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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