For a long time-at least from Fermat to Minkowski-the theory of quadratic forms was a part of
number theory. Much of the best work of the great number theorists of the eighteenth and …

This monograph is an exposition of the theory of central simple algebras with involution, in
relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of …

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical
theory to recent developments, including results and proofs that have never been published …

This volume addresses algebraic invariants that occur in the confluence of several important
areas of mathematics, including number theory, algebra, and arithmetic algebraic geometry …

An Exact Sequence for <tex-math>$\text{K}_{\ast}^{M}/2$</tex-math> with Applications to Quadrati
Page 1 Annals of Mathematics, 165 (2007), 1-13 An exact sequence for Kjr/2 with applications …

Es ist dabei e immer ein Homomorphismus und der Kern von e ist das maximale Ideal M (K)
der Klassen gerade-dimensionaler Formen. d und c sind aber ia keine Homomorphismen …

Let $ k $ be an uncountable field of characteristic different from two. We show that a very
general hypersurface $ X\subset\mathbb {P}^{N+ 1} _k $ of dimension $ N\geq 3$ and …

As for the cohomological dimension, we have an equation (8) cd (K)= cd (F)+ 1 if P is
invertible in F, or if F is perfect pp and K is of characteristic zero. rcr. Artin [2].) On the other …

The first stable homotopy groups of motivic spheres Page 1 Annals of Mathematics 189 (2019),
1–74 https://doi.org/10.4007/annals.2019.189.1.1 The first stable homotopy groups of motivic …

In § 4 we first study the question of how much information about p is given by Jc (< p). Then
we ask for a lower bound of the degrees of transcendency of the generic zero fields of (p …