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Recent advances in real algebraic geometry and quadratic forms : [electronic resource] proceedings of the RAGSQUAD year, Berkeley, 1990-1991 / William B. Jacob, Tsit-Yuen Lam, Robert O. Robson, editors.

Contributor(s): Jacob, Bill | Lam, T. Y. (Tsit-Yuen), 1942- | Robson, Robert O, 1954- | AMS Special Session on Real Algebraic Geometry and Quadratic Forms (1991 : San Francisco, Calif.)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 155.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (viii, 405 p. : ill.)ISBN: 9780821877463 (online)Subject(s): Geometry, Algebraic | Forms, QuadraticAdditional physical formats: Recent advances in real algebraic geometry and quadratic forms :DDC classification: 512/.74 LOC classification: QA564 | .R43 1994Online resources: Contents | Contents

Contents:

D. W. Dubois and the pioneer days of real algebraic geometry / Tom�as Recio and Carlos Andradas -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01370 On algebraic structures of manifolds / S. Akbulut -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01371 On local uniformization of orderings / Carlos Andradas and Jes�us M. Ruiz -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01372 Real algebraic geometry over $p$-real closed fields / Ralph Berr -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01373 On the reduction of semialgebraic sets by real valuations / Ludwig Br�ocker -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01374 Orderings for noncommutative rings / Thomas C. Craven -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01375 Nonexistence of analytically varying solutions to Hilbert's 17th problem / Charles N. Delzell -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01376 A combinatorial geometric structure on the space of orders of a field. II / M. A. Dickmann -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01377 Formal determination of polynomial consequences of real orthogonal matrices / M. J. Gonz�alez-L�opez and T. Recio -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01378 On valuation spectra / Roland Huber and Manfred Knebusch -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01379 Minimal generation of basic sets in the real spectrum of a commutative ring / M. Marshall -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01380 A new proof of the homogeneous Nullstellensatz for $p$-fields, and applications to topology / Albrecht Pfister -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01381 The compatible valuation rings of the coordinate ring of the real plane / M. J. de la Puente -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01382 Estimates for parametric nonuniformity in representations of a definite polynomial as a sum of fourth powers / Gilbert Stengle -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01383 On generators for the Witt ring / J�on Kr. Arason, Richard Elman and Bill Jacob -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01384 On the trace formula for quadratic forms / Eberhard Becker and Thorsten W�oermann -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01385 Quadratic forms with values in line bundles / W. Bichsel and M.-A. Knus -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01386 On annihilators in graded Witt rings and in Milnor's $K$-theory / Martin Kr�uskemper -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01387 An application of the theory of order completions / Ka Hin Leung -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01388 Growth of the $u$-invariant under algebraic extensions / David B. Leep and A. S. Merkurjev -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01389 Remarks on Merkurjev's investigations of the $u$-invariant / J�an Min�a�c -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01390 On the canonical class of a curve and the extension property for quadratic forms / R. Parimala and W. Scharlau -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01391 Reduced norms and Pfaffians via Brauer-Severi schemes / R. Parimala and R. Sridharan -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01392 Matching Witts with global fields / R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01393 On Witt-kernels of function fields of curves / Jonathan Shick -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01394 On the canonical class of hyperelliptic curves / V. Suresh -- http://www.ams.org/conm/155/ http://dx.doi.org/10.1090/conm/155/01395

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11437

Papers resulting from a course held at the University of California at Berkeley, 1990-91 and the AMS Special Session on Real Algebraic Geometry and Quadratic Forms held in San Francisco, Jan. 1991, both comprising the special year dubbed RAGSQUAD.

Includes bibliographical references.

D. W. Dubois and the pioneer days of real algebraic geometry / Tom�as Recio and Carlos Andradas -- On algebraic structures of manifolds / S. Akbulut -- On local uniformization of orderings / Carlos Andradas and Jes�us M. Ruiz -- Real algebraic geometry over $p$-real closed fields / Ralph Berr -- On the reduction of semialgebraic sets by real valuations / Ludwig Br�ocker -- Orderings for noncommutative rings / Thomas C. Craven -- Nonexistence of analytically varying solutions to Hilbert's 17th problem / Charles N. Delzell -- A combinatorial geometric structure on the space of orders of a field. II / M. A. Dickmann -- Formal determination of polynomial consequences of real orthogonal matrices / M. J. Gonz�alez-L�opez and T. Recio -- On valuation spectra / Roland Huber and Manfred Knebusch -- Minimal generation of basic sets in the real spectrum of a commutative ring / M. Marshall -- A new proof of the homogeneous Nullstellensatz for $p$-fields, and applications to topology / Albrecht Pfister -- The compatible valuation rings of the coordinate ring of the real plane / M. J. de la Puente -- Estimates for parametric nonuniformity in representations of a definite polynomial as a sum of fourth powers / Gilbert Stengle -- On generators for the Witt ring / J�on Kr. Arason, Richard Elman and Bill Jacob -- On the trace formula for quadratic forms / Eberhard Becker and Thorsten W�oermann -- Quadratic forms with values in line bundles / W. Bichsel and M.-A. Knus -- On annihilators in graded Witt rings and in Milnor's $K$-theory / Martin Kr�uskemper -- An application of the theory of order completions / Ka Hin Leung -- Growth of the $u$-invariant under algebraic extensions / David B. Leep and A. S. Merkurjev -- Remarks on Merkurjev's investigations of the $u$-invariant / J�an Min�a�c -- On the canonical class of a curve and the extension property for quadratic forms / R. Parimala and W. Scharlau -- Reduced norms and Pfaffians via Brauer-Severi schemes / R. Parimala and R. Sridharan -- Matching Witts with global fields / R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland -- On Witt-kernels of function fields of curves / Jonathan Shick -- On the canonical class of hyperelliptic curves / V. Suresh --