Real algebraic geometry and ordered structures : AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures held at Louisiana State University, Baton Rouge, LA, April 17-21, 1996 : Special Semester on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University, Baton Rouge, LA, January-May 1996 / Charles N. Delzell, James J. Madden, editors.

Format:

Book

Conference/Event

Author/Creator:

AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures, Corporate Author.

Contributor:

Delzell, Charles N., 1953- editor.

Madden, James J., editor.

Conference Name:

AMS Special Session on Real Algebraic Geometry and Ordered Algebraic Structures (1996 : Louisiana State University), issuing body.

Special Semester on Real Algebraic Geometry and Ordered Structures (1996 : Louisiana State University; Southern University), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; 253.

Contemporary mathematics, 0271-4132 ; 253

Language:

English

Subjects (All):

Geometry, Algebraic--Congresses.

Geometry, Algebraic.

Ordered algebraic structures--Congresses.

Ordered algebraic structures.

Physical Description:

1 online resource (320 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.

Contents:

""On the vector space defect for valued field extensions""""On the classification of decomposable 7-th degree curves""; ""The complex spectrum of a ring""; ""Some concrete aspects of Hilbert's 17th problem""; ""Semialgebraic singularity theory""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7843-3

0-8218-5589-1