The Algebraic and Geometric Theory of Quadratic Forms
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[1] B. Kahn. Formes quadratiques et cycles algébriques , 2005 .
[2] Nikita A. Karpenko,et al. Canonical p-dimension of algebraic groups , 2006 .
[3] M. Marshall,et al. The reduced theory of quadratic forms , 1981 .
[4] A. Grothendieck,et al. Éléments de géométrie algébrique , 1960 .
[5] The Witt group and the equivalence of fields with respect to quadratic forms , 1973 .
[6] N. Bourbaki. Commutative Algebra: Chapters 1-7 , 1989 .
[7] M. Rost. Chow groups with coefficients , 1996, Documenta Mathematica.
[8] Jean-Pierre Serre. A Course in Arithmetic , 1973 .
[9] C. Schubert. Going up of the u-invariant over formally real fields , 2007 .
[10] Tsit Yuen Lam,et al. Introduction To Quadratic Forms Over Fields , 2004 .
[11] J. Arason. Cohomologische invarianten quadratischer Formen , 1975 .
[12] R. Baeza,et al. Annihilators of quadratic and bilinear forms over fields of characteristic two , 2006 .
[13] U. Rehmann,et al. The minimal height of quadratic forms of given dimension , 2006 .
[14] A. Prestel,et al. On some Hasse Principles over formally real fields , 1973 .
[15] N. Karpenko. On the first Witt index of quadratic forms , 2003 .
[16] W. Scharlau. Zur Pfisterschen Theorie der quadratischen Formen , 1969 .
[17] Manfred Knebusch. Generic Splitting of Quadratic Forms, I , 1976 .
[18] J. Tignol. Réduction de l'indice d'une algèbre simple centrale sur le corps des fonctions d'une quadrique , 1990 .
[19] A. Wadsworth. Merkurjev''s elementary proof of Merkurjev''s theorem , 1983 .
[20] J. Arason,et al. Über die Grade quadratischer Formen , 1978 .
[21] R. Baeza,et al. The behavior of quadratic and differential forms under function field extensions in characteristic two , 2003 .
[22] Vladimir Voevodsky,et al. An exact sequence for $K_\ast^M/2$ with applications to quadratic forms , 2001, math/0101023.
[23] R. Baeza. Comparing u-invariants of fields of characteristic 2 , 1982 .
[24] Skip Garibaldi,et al. Cohomological Invariants in Galois Cohomology , 2003 .
[25] M. Rost,et al. Degree four cohomological invariants for quadratic forms , 1989 .
[26] P. Brosnan. Steenrod operations in chow theory , 2003 .
[27] Alexander Merkurjev,et al. Motivic decomposition of isotropic projective homogeneous varieties , 2005 .
[28] D. Hoffmann,et al. Quadratic forms and Pfister neighbors in characteristic 2 , 2004 .
[29] Manfred Knebusch,et al. The algebraic theory of quadratic forms , 1980 .
[30] R. G. Swan. Zero cycles on quadric hypersurfaces , 1989 .
[31] Hideya Matsumoto,et al. Sur les sous-groupes arithm'etiques des groupes semi-simples d'eploy'es , 1969 .
[32] A. Wadsworth,et al. u-invariants of fields of characteristic 2 , 1991 .
[33] M. Carral,et al. Quadratic and λ-hermitian forms , 1989 .
[34] S. Ziemiański,et al. On the Occasion of his Seventy Fifth Birthday , 2006 .
[35] A. Theorem,et al. Hilbert 90 for K3 for degree-two extensions , 1996 .
[36] T. Lam,et al. Quadratic Forms Over Formally Real Fields and Pythagorean Fields , 1972 .
[37] A. Suslin,et al. THE GROUP $ K_3$ FOR A FIELD , 1991 .
[38] Vladimir Voevodsky,et al. Motivic cohomology with Z/2-coefficients , 2003 .
[39] D. Hoffmann. On the dimensions of anisotropic quadratic forms in I4 , 1997 .
[40] F. Miraglia,et al. On quadratic forms whose total signature is zero mod 2nSolution to a problem of M. Marshall , 1998 .
[41] E. Witt,et al. Theorie der quadratischen Formen in beliebigen Körpern. , 1937 .
[42] Alexander Prestel,et al. Remarks on the Pythagoras and Hasse number of real fields. , 1978 .
[43] A. S. Merkur’ev. SIMPLE ALGEBRAS AND QUADRATIC FORMS , 1992 .
[44] Nicolas Bourbaki,et al. Elements of mathematics , 2004 .
[45] J. Milnor. Algebraic K-Theory and Quadratic Forms , 2005 .
[46] Hofreiter. Structure of algebras , 1941 .
[47] Manfred Knebusch. Ein Satz über die Werte von quadratischen Formen über Körpern , 1971 .
[48] A. Vishik. On the Chow Groups of Quadratic Grassmannians , 2005 .
[49] Chih-Han Sah,et al. Symmetric bilinear forms and quadratic forms , 1972 .
[50] T. Willmore. Algebraic Geometry , 1973, Nature.
[51] O. Izhboldin. Motivic equivalence of quadratic forms , 1998, Documenta Mathematica.
[52] A. S. Merkur’ev. Kaplansky conjecture in the theory of quadratic forms , 1991 .
[53] P. Cohn. Symmetric Bilinear Forms , 1973 .
[54] A. Merkurjev,et al. Essential dimension of quadrics , 2003 .
[55] T. Lam,et al. Classification theorems for quadratic forms over fields , 1974 .
[56] Ivan Fesenko,et al. Local Fields and Their Extensions , 2002 .
[57] T. A. Springer. Quadratic forms over fields with a discrete valuation: I. Equivalence classes of definite forms , 1955 .
[58] D. W. Lewis,et al. Quadratic forms isotropic over the function field of a conic , 1994 .
[59] THE AMER-BRUMER THEOREM OVER ARBITRARY FIELDS , 2007 .
[60] I. Shafarevich. Basic algebraic geometry , 1974 .
[61] J. Cassels,et al. On Sums of Squares and on Elliptic Curves over Function Fields , 1971 .
[62] A. Kuku,et al. Higher Algebraic K-Theory , 2006 .
[63] R. Elman,et al. Powers of the Fundamental Ideal in the Witt Ring , 2001 .
[64] A. Pfister. Multiplikative quadratische Formen , 1965 .
[65] Johan P. Hansen,et al. INTERSECTION THEORY , 2011 .
[66] J. W. S. Cassels,et al. On the representation of rational functions as sums of squares , 1964 .
[67] Nicolas Bourbaki,et al. Eléments de Mathématique , 1964 .
[68] D. Buchsbaum,et al. Commutative Algebra, Vol. II. , 1959 .
[69] A. Pfister,et al. Beweis des Krullschen Durchschnittsatzes für den Wittring , 1971 .
[70] Ludwig Bröcker. Zur Theorie der quadratischen Formen über formal reellen Körpern , 1974 .
[71] Kazuya Kato. Symmetric bilinear forms, quadratic forms and MilnorK-theory in characteristic two , 1982 .
[72] R. Baeza,et al. Relations in In and InWq in characteristic 2 , 2007 .
[73] Tsit Yuen Lam,et al. The algebraic theory of quadratic forms , 1973 .
[74] Jean-Pierre Tignol,et al. The Book of Involutions , 1998 .
[75] W. Scharlau. Quadratic reciprocity laws , 1972 .
[76] D. Hoffmann. Isotropy of quadratic forms over the function field of a quadric , 1995 .
[77] Albrecht Pfjster,et al. Zur Darstellung von -1 Als Summe von Quadraten in Einem Körper , 1965 .
[78] A. Vishik. Fields of u-invariant 2 r + 1 , 2009 .
[79] Yoshiyuki Kitaoka,et al. Arithmetic of quadratic forms , 1993 .
[80] T. Lam,et al. Pfister forms and K-theory of fields , 1972 .
[81] On the notion of canonical dimension for algebraic groups , 2004, math/0404391.
[82] D. Hoffmann,et al. Isotropy of quadratic forms over the function field of a quadric in characteristic 2 , 2006 .
[83] W. J. Fisher,et al. Translated from the French , 1920 .
[84] R. Fitzgerald. Function fields of quadratic forms , 1981 .
[85] U. Rehmann,et al. OnK2 of finite dimensional division algebras over arithmetical fields , 1978 .
[86] F. Lorenz,et al. Die Primideale des Wittschen Ringes , 1970 .
[87] D. Hoffmann. Pythagoras numbers of fields , 1999 .
[88] R. Baeza,et al. Milnor'ory and quadratic forms over fields of characteristic two , 1992 .
[89] A. Pfister. Systems of quadratic forms , 1979 .
[90] A. Prestel,et al. Reduced Stability of the Witt Ring of a Field and its Pythagorean Closure , 1984 .
[91] T. Lam,et al. Quadratic forms under algebraic extensions , 1976 .