We prove the analog for the -theory of forms of the theorem in algebraic -theory. That is, we show that the -theory of forms defined in terms of an -construction is a group completion of the category of quadratic spaces for form categories in which all admissible exact sequences split. This applies for instance to quadratic and hermitian forms defined with respect to a form parameter
AbstractLet X be a topological space equipped with the action of a finite group ∏. We may form the t...
AbstractTwo exact sequences of Witt groups are constructed, extending ones obtained earlier by the a...
We study the $k$-forms of almost homogeneous varieties when $k$ is a perfect base field. More precis...
We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K-theory, of symme...
The Burnside form ring Z is the initial object and tensor unit in the category of form rings; theref...
AbstractThe algebraic K-groups of an exact category M are defined by Quillen as KiM=лi+1(QM), i≥0, w...
Let $r>2$ be an integer and let $K$ be a field in which $r!$ is invertible. An $r$-form over $K$ is ...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories, with a parti...
The paper presents a study of axiomatic theory of quadratic forms. Two operations on quadratic form...
AbstractWe generalize, from additive categories to exact categories, the concept of “Karoubi filtrat...
Thesis advisor: Benjamin V. HowardGiven a field F, an algebraic closure K and an F-vector space V, w...
A $q$-bic form is a pairing $V \times V \to \mathbf{k}$ that is linear in the second variable and $q...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories, with a par...
The classical L-theory of a commutative ring is built from the quadratic forms over this ring modulo...
AbstractThe general structure theory of bilinear forms, as formulated by Riehm and Scharlau, is here...
AbstractLet X be a topological space equipped with the action of a finite group ∏. We may form the t...
AbstractTwo exact sequences of Witt groups are constructed, extending ones obtained earlier by the a...
We study the $k$-forms of almost homogeneous varieties when $k$ is a perfect base field. More precis...
We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K-theory, of symme...
The Burnside form ring Z is the initial object and tensor unit in the category of form rings; theref...
AbstractThe algebraic K-groups of an exact category M are defined by Quillen as KiM=лi+1(QM), i≥0, w...
Let $r>2$ be an integer and let $K$ be a field in which $r!$ is invertible. An $r$-form over $K$ is ...
We study the algebraic K-theory and Grothendieck–Witt theory of proto-exact categories, with a parti...
The paper presents a study of axiomatic theory of quadratic forms. Two operations on quadratic form...
AbstractWe generalize, from additive categories to exact categories, the concept of “Karoubi filtrat...
Thesis advisor: Benjamin V. HowardGiven a field F, an algebraic closure K and an F-vector space V, w...
A $q$-bic form is a pairing $V \times V \to \mathbf{k}$ that is linear in the second variable and $q...
We study the algebraic $K$-theory and Grothendieck-Witt theory of proto-exact categories, with a par...
The classical L-theory of a commutative ring is built from the quadratic forms over this ring modulo...
AbstractThe general structure theory of bilinear forms, as formulated by Riehm and Scharlau, is here...
AbstractLet X be a topological space equipped with the action of a finite group ∏. We may form the t...
AbstractTwo exact sequences of Witt groups are constructed, extending ones obtained earlier by the a...
We study the $k$-forms of almost homogeneous varieties when $k$ is a perfect base field. More precis...
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