K-theory and algebraic geometry : [electronic resource] connections with quadratic forms and division algebras / Summer Research Institute on Quadratic Forms and Division Algebras, July 6-24, 1992, University of California, Santa Barbara ; Bill Jacob, Alex Rosenberg, editors.

By:

Summer Research Institute on Quadratic Forms and Division Algebras (1992 : University of California, Santa Barbara, Calif.)

Contributor(s):

Material type: Text

TextSeries: Proceedings of symposia in pure mathematics ; v. 58.2Publication details: Providence, R.I. : American Mathematical Society, c1995.Description: 1 online resource (2 v. : ill.)ISBN:

9780821893616 (online)

Subject(s):

Additional physical formats: K-theory and algebraic geometry :DDC classification:

514/.23 20

LOC classification:

QA612.33 .S86 1992

Online resources:

Contents:

On the Witt ring of elliptic curves / J�on Kr. Arason, Richard Elman and Bill Jacob -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327286 $p$-algebras over maximally complete fields / Roberto Aravire and Bill Jacob -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327287 Weil's additive characters and class number parity / Stella Roberson Ashford -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327288 Decomposition of positive definite integral quadratic forms as sums of positive definite quadratic forms / R. Baeza and M. I. Icaza -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327289 Multiples of trace forms in number fields / Eva Bayer-Fluckiger and Jorge Morales -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327290 On the structure of Galois groups of the fields of rational functions / Fedor A. Bogomolov -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327291 Formal groups of twisted multiplicative groups and $L$-series / Nancy Childress and David Grant -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327292 Sums of squares of real polynomials / M. D. Choi, T. Y. Lam and B. Reznick -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327293 Unramified Witt groups of real anisotropic quadrics / J.-L. Colliot-Th�el�ene and R. Sujatha -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327294 Orderings, valuations, and Hermitian forms over $*$-fields / Thomas C. Craven -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327295 A conjecture about relative Brauer groups / Burton Fein and Murray Schacher -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327296 Bernstein's isomorphism and good forms / Yuval Z. Flicker -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327297 Examples of locally trivial Azumaya algebras / T. J. Ford -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327298 Isotropy of $5$-dimensional quadratic forms over the function field of a quadric / Detlev W. Hoffmann -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327299 Minimal forms for function fields of conics / D. W. Hoffmann, D. W. Lewis and J. Van Geel -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327300 Generalized class field theory and cyclic algebras / Raymond T. Hoobler -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327301 The number of embeddings of quadratic $S$-lattices / Donald G. James -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327302 On topological filtration for Severi-Brauer varieties / N. A. Karpenko -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327303 Discriminants of involutions on biquaternion algebras / M.-A. Knus, T. Y. Lam, D. B. Shapiro and J.-P. Tignol -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327304 $p$-groups and $K$-admissibility / Steven Liedahl -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327305 Brauer groups over affine normal surfaces / Hongnian Li -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327306 Certain $K$-cohomology groups of Severi-Brauer varieties / A. S. Merkurjev -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327307 The $u$-invariant for algebraic extensions / J�an Min�a�c and Adrian R. Wadsworth -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327308 On defective division algebras / Patrick J. Morandi -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327309 Products of Severi-Brauer varieties and Galois cohomology / Emmanuel Peyre -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327310 A finiteness theorem for cohomology of surfaces over $p$-adic fields and an application to Witt groups / S. Saito and R. Sujatha -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327311 Witt rings and realizability of small $2$-Galois groups / Tara L. Smith -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327312 Quadratic forms and solvable Galois groups / Roger Ware -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327313 Symmetric and skew-symmetric elements of involutions, associated groups and the problem of decomposability of involutions / Vyacheslav I. Yanchevski�i -- http://www.ams.org/pspum/058.2 http://dx.doi.org/10.1090/pspum/058.2/1327314

Item type:

E-BOOKS

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Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library			Link to resource	Available		EBK12420

Includes bibliographical references.

On the Witt ring of elliptic curves / J�on Kr. Arason, Richard Elman and Bill Jacob -- $p$-algebras over maximally complete fields / Roberto Aravire and Bill Jacob -- Weil's additive characters and class number parity / Stella Roberson Ashford -- Decomposition of positive definite integral quadratic forms as sums of positive definite quadratic forms / R. Baeza and M. I. Icaza -- Multiples of trace forms in number fields / Eva Bayer-Fluckiger and Jorge Morales -- On the structure of Galois groups of the fields of rational functions / Fedor A. Bogomolov -- Formal groups of twisted multiplicative groups and $L$-series / Nancy Childress and David Grant -- Sums of squares of real polynomials / M. D. Choi, T. Y. Lam and B. Reznick -- Unramified Witt groups of real anisotropic quadrics / J.-L. Colliot-Th�el�ene and R. Sujatha -- Orderings, valuations, and Hermitian forms over $*$-fields / Thomas C. Craven -- A conjecture about relative Brauer groups / Burton Fein and Murray Schacher -- Bernstein's isomorphism and good forms / Yuval Z. Flicker -- Examples of locally trivial Azumaya algebras / T. J. Ford -- Isotropy of $5$-dimensional quadratic forms over the function field of a quadric / Detlev W. Hoffmann -- Minimal forms for function fields of conics / D. W. Hoffmann, D. W. Lewis and J. Van Geel -- Generalized class field theory and cyclic algebras / Raymond T. Hoobler -- The number of embeddings of quadratic $S$-lattices / Donald G. James -- On topological filtration for Severi-Brauer varieties / N. A. Karpenko -- Discriminants of involutions on biquaternion algebras / M.-A. Knus, T. Y. Lam, D. B. Shapiro and J.-P. Tignol -- $p$-groups and $K$-admissibility / Steven Liedahl -- Brauer groups over affine normal surfaces / Hongnian Li -- Certain $K$-cohomology groups of Severi-Brauer varieties / A. S. Merkurjev -- The $u$-invariant for algebraic extensions / J�an Min�a�c and Adrian R. Wadsworth -- On defective division algebras / Patrick J. Morandi -- Products of Severi-Brauer varieties and Galois cohomology / Emmanuel Peyre -- A finiteness theorem for cohomology of surfaces over $p$-adic fields and an application to Witt groups / S. Saito and R. Sujatha -- Witt rings and realizability of small $2$-Galois groups / Tara L. Smith -- Quadratic forms and solvable Galois groups / Roger Ware -- Symmetric and skew-symmetric elements of involutions, associated groups and the problem of decomposability of involutions / Vyacheslav I. Yanchevski�i --