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 1721, 1996 : Special Semester on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University, Baton Rouge, LA, JanuaryMay 1996

Contributor(s): Delzell Charles N | Madden James JMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 253Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (xxvii, 287 p. : ill.)ISBN: 9780821878439 (online)Subject(s): Geometry, Algebraic | Ordered algebraic structuresOnline resources: Click here to access online
Contents:
On real involutions and ramification of real valuations ; Deciding positivity of real polynomials ; Radial vector fields and the PoincareHopf theorem ; A generalization of the ArnoldViro inequalities for real singular algebraic curves ; Floppy curves, with applications to real algebraic curves ; Towards an abstract description of the space of real places ; A special quantifier elimination algorithm for Pham systems ; A look at biseparating maps from an algebraic point of view ; Real Teichmuller spaces and moduli of real algebraic curves ; Correction to: "A real algebraic vector bundle is strongly algebraic whenever its total space is affine" [in Real algebraic geometry and topology (East Lansing, MI, 1993), 117119, Contemp. Math., 182, Amer. Math. Soc., Providence, RI, 1995 ; MR1318734 (95m:14036)] ; The exponential rank of nonarchimedean exponential fields ; Subanalytic and semialgebraic realisations of abstract stratified sets ; On the vector space defect for valued field extensions ; On the classification of decomposable 7th degree curves ; The complex spectrum of a ring ; Some concrete aspects of Hilbert's 17th Problem ; Semialgebraic singularity theory M E Alonso and M P Velez ; Eberhard Becker Victoria Powers and Thorsten Wormann ; JeanPaul Brasselet ; Sergey Finashin ; Patrick M Gilmer ; Danielle Gondard and Murray Marshall ; Laureano GonzalezVega ; M Henriksen and F A Smith ; J Huisman ; J Huisman ; FranzViktor Kuhlmann and Salma Kuhlmann ; Laurent Noirel and David Trotman ; Jack Ohm ; Grigorii M Polotovskii ; M J de la Puente ; Bruce Reznick ; Masahiro Shiota
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Includes bibliographical references.

On real involutions and ramification of real valuations ; Deciding positivity of real polynomials ; Radial vector fields and the PoincareHopf theorem ; A generalization of the ArnoldViro inequalities for real singular algebraic curves ; Floppy curves, with applications to real algebraic curves ; Towards an abstract description of the space of real places ; A special quantifier elimination algorithm for Pham systems ; A look at biseparating maps from an algebraic point of view ; Real Teichmuller spaces and moduli of real algebraic curves ; Correction to: "A real algebraic vector bundle is strongly algebraic whenever its total space is affine" [in Real algebraic geometry and topology (East Lansing, MI, 1993), 117119, Contemp. Math., 182, Amer. Math. Soc., Providence, RI, 1995 ; MR1318734 (95m:14036)] ; The exponential rank of nonarchimedean exponential fields ; Subanalytic and semialgebraic realisations of abstract stratified sets ; On the vector space defect for valued field extensions ; On the classification of decomposable 7th degree curves ; The complex spectrum of a ring ; Some concrete aspects of Hilbert's 17th Problem ; Semialgebraic singularity theory M E Alonso and M P Velez ; Eberhard Becker Victoria Powers and Thorsten Wormann ; JeanPaul Brasselet ; Sergey Finashin ; Patrick M Gilmer ; Danielle Gondard and Murray Marshall ; Laureano GonzalezVega ; M Henriksen and F A Smith ; J Huisman ; J Huisman ; FranzViktor Kuhlmann and Salma Kuhlmann ; Laurent Noirel and David Trotman ; Jack Ohm ; Grigorii M Polotovskii ; M J de la Puente ; Bruce Reznick ; Masahiro Shiota

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