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**Author:** Jaime Gutierrez,Vladimir Shpilrain,Jie-Tai Yu

**Category:** Science & Mathematics

**Language:** English

**Publisher:** Amer Mathematical Society (March 1, 2005)

**Pages:** 276 pages

**ISBN:** 0821834762

**ISBN13:** 978-0821834763

**Rating:** 4.6

**Votes:** 231

**Other formats:** lrf azw lrf rtf

A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the .

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. 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. A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS). 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).

Jie-Tai Yu. In this paper we introduce the D-resultant of two rational func . Contributions of the special session on affine algebraic geometry at the 1st joint AMS-RSME meeting, Seville, Spain, June 18–21, 2003. In this paper we introduce the D-resultant of two rational func- tions f(t);g(t)2K(t) and show how it can be used to decide if K(f(t);g(t)) K(t )o r ifK(t) K(f(t);g(t)) and to nd the singularities of the parametric algebraic curve dene. by X f(t);Y g(t). We first prove that any birational map, from an affine space of dimension ≥ 2 to itself, is not determined by its face functions.

Preface This volume consists of contributions by speakers at the Special Session on Affine Algebraic Geometry at the first joint international meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) held in Seville.

Preface This volume consists of contributions by speakers at the Special Session on Affine Algebraic Geometry at the first joint international meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) held in Seville, Spain, June 18-21, 2003.

Affine Geometry, Algebraic Geometry, Congresses, Geometry, Affine, Geometry, Algebraic.

Joint Mathematics Meetings. Affine Algebraic Geometry. Proposal and Abstract Deadlines.

Affine algebraic geometry: special session on affine algebraic geometry at the first joint AMS-RSME . Contemporary Mathematics Series, vol. 369, American Mathematical Society, Providence, pp. 245-251, 1st RSME-AMS Joint Meeting, Seville, Spain, 19/06/03

Affine algebraic geometry: special session on affine algebraic geometry at the first joint AMS-RSME meeting. pp. 245-251 (Contemporary Mathematics Series). 245-251, 1st RSME-AMS Joint Meeting, Seville, Spain, 19/06/03.

The articles are based on talks given at the DIMACS Workshop on ''Algorithmic and Quantitative Aspects of Real Algebraic Geometry''.

Mathematics Algebraic Geometry. Title:Embeddings of hypersurfaces in affine spaces

Mathematics Algebraic Geometry. Title:Embeddings of hypersurfaces in affine spaces. Authors:Vladimir Shpilrain, Jie-Tai Yu. (Submitted on 22 Oct 2000). Furthermore, and more importantly, we give a universal procedure for obtaining all possible algebraic varieties isomorphic to a given one, and use it to construct numerous examples of isomorphic, but inequivalent algebraic varieties in ${bf C}^n$.

2. Affine Algebraic Geometry, Contemporary Mathematics. A note on residual variables of an affine fibration. An analysis and application of the strip-wise affine map to the path following task of autonomous non-holonomic mobile robots is presented, along with experimental results obtained using a calibrated camera and a video tracking algorithms.

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.