Arithmetic of Pell surfaces
Arithmetic of quaternary quadratic forms
Arithmetical equivalents for a remarkable identity between theta functions . . . . . . . . . . . . . . .
Arithmetical Hilbert symbols, distance maps and cohomology
Arithmetical quadratic surfaces of genus 0, I.
Arithmetical quadratic surfaces of genus 0, II.
Arithmétique des formes quadratiques quaternaires
Around rationality of cycles
We prove certain results comparing rationality of algebraic cycles over the function field of a quadric and over the base field. These results have already been obtained by Alexander Vishik in the case of characteristic 0, which allowed him to work with algebraic cobordism theory. Our proofs use the modulo 2 Steenrod operations in the Chow theory and work in any characteristic ≠ 2.
Autographirte Vorlesungshefte, III
Automorphisms of products of Witt rings of local type
Automorphisms of Witt rings of global fields
We construct an uncountable set of strong automorphisms of the Witt ring of a global field.
Beiträge zu einer additiven Zahlentheorie [Book]
Beiträge zur geometrischen Interpretation binärer Formen
Bemerkung über die Aequivalentsubstitutionen binärer quadratischer Formen.
Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist.
Bilinear forms for SL(2,q), An and similar groups.
The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.
Binäre Formen und Primideale.
Binäre quadratische Formen und Diederkörper
Binary forms and orders of algebraic number fields.
Binary forms and orders of algebraic number fields (Erratum).