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Affine algebraic geometry : Special Session on Affine Algebraic Geometry at the First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003 / Jaime Gutierrez, Vladimir Shpilrain, Jie-Tai Yu, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- Special Session on Affine Algebraic Geometry at the Joint AMS-RSME Meeting (1st : 2003 : Seville, Spain), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 369.
- Contemporary mathematics, 0271-4132 ; 369
- Language:
- English
- Subjects (All):
- Geometry, Algebraic--Congresses.
- Geometry, Algebraic.
- Geometry, Affine--Congresses.
- Geometry, Affine.
- Physical Description:
- 1 online resource (288 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2005]
- Language Note:
- English
- Summary:
- 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 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:
- ""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""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7959-6
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