Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: u-invariant

Sortuj według:

Ogranicz wyniki do:

Variations on a theme of rationality of cycles

100%

Karpenko N.

Open Mathematics

2013

tom 11

nr 6

1056-1067

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 construction of fields of u-invariant 2r + 1, for r ≥ 3, is extended to arbitrary characteristic ≠ 2.

Ograniczanie wyników

1 Open Mathematics

1 Karpenko N.

1 2013

Wyniki wyszukiwania

Variations on a theme of rationality of cycles