Sylvester theorem for certain free modules
Symbol lengths in Milnor -theory.
Systems of Homogeneous Equations.
Systems of quadratic forms.
Systems of quadratic forms
Ten problems on quadratic forms
The 27-dimensional module for E6. I.
The Pythagoras number of some affine algebras and local algebras.
The quadratic form transfer and valuations.
The u-invariant of fields with 16 and 32 square classes I
We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.
The Witt group of quadratic characters.
Twisted Pfister forms.
Ueber die Vertheilung der quadratischen Formen mit complexen Coefficienten und Veränderlichen in Geschlechter
u-invariants of fields of characteristic 2.
Une note sur les formes quadratiques en caractéristique 2
Variations on a theme of rationality of cycles
We prove certain weak versions of some celebrated results due to Alexander Vishik comparing rationality of algebraic cycles over the function field of a quadric and over the base field. The original proofs use Vishik’s symmetric operations in the algebraic cobordism theory and work only in characteristic 0. Our proofs use the modulo 2 Steenrod operations in the Chow theory and work in any characteristic ≠ 2. Our weak versions are still sufficient for existing applications. In particular, Vishik’s...
Witt rings as integral rings.
Wittring und Galoiscohomologie bei Charakteristik 2.
Wittringe höherer Stufe.
Zur Klassifikation von Bilinearformen und von Isometrie über Körpern.