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.