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Recent Advances in Real Algebraic Geometry and Quadratic Forms.
The papers in this volume grew out of a year-long program in ""Real Algebraic Geometry and Quadratic Forms"", held at the University of California at Berkeley during the 1990-1991 academic year. This valuable collection of research articles by top workers serves as a record of cu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1994.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Contents; Preface; D.W. Dubois and the Pioneer Days of Real Algebraic Geometry; Papers on Real Algebraic Geometry; On Algebraic Structures of Manifolds; On Local Uniformization of Orderings; Real Algebraic Geometry Over p-Real Closed Fields; On the Reduction of Semialgebraic Sets by Real Valuations; Orderings for Noncommutative Rings; Nonexistence of Analytically Varying Solutions to Hilbert's 17th Problem; A Combinatorial Geometric Structure on the Space of Orders of a Field II; Formal Determination of Polynomial Consequences of Real Orthogonal Matrices; On Valuation Spectra.
- Minimal Generation of Basic Sets in the Real Spectrum of a Commutative RingA New Proof of the Homogeneous Nullstellensatz for p-Fields, and Applications to Topology; The Compatible Valuation Rings of the Coordinate Ring of the Real Plane; Estimates for Parametric Nonuniformity in Representations of a Definite Polynomial as a Sum of Fourth Powers; Papers on Quadratic Forms; On Generators for the Witt Ring; On the Trace Formula for Quadratic Forms; Quadratic Forms with Values in Line Bundles; On Annhilators in Graded Witt Rings and in Milnor's K-Theory.
- An Application of the Theory of Order CompletionsGrowth of the u-Invariant Under Algebraic Extensions; Remarks on Merkurjev's Investigations of the u-Invariant; On the Canonical Class of a Curve and the Extension Property for Quadratic Forms; Reduced Norms and Pfaflians Via Brauer-Severi Schemes; Matching Witts With Global Fields; On Witt-Kernels of Function Fields of Curves; On the Canonical Class of Hyperelliptic Curves; Epilogue.