Values of isotropic quadratic forms at -integral points
Values of quadratic forms at primitive integral points.
Values of special indefinite quadratic forms
Variation of the number of lattice points in large balls
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...
Variations sur un thème de Mahler.
Varieties of small degree over finite fields.
Vector product and composition algebras in braided monoidal additive categories
This is an account of some work of Markus Rost and his students Dominik Boos and Susanne Maurer. It concerns the possible dimensions for composition (also called Hurwitz) algebras. We adapt the work to the braided monoidal setting.
Voisinage au sens de Kneser pour les réseaux quaternioniens.
Výpočet polynomů Kazhdana, Lustiga a Vogana pro rozštěpení grupy
Waring's Problem for Fields
Waring's problem for fields
If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of kth powers...
Weak corestriction principle for non-Abelian Galois cohomology.
Wild sets and 2-ranks of class groups
Witt equivalence of cyclotomic fields
Witt equivalence of quadratic extensions of global fields
Witt group of Hermitian forms over a noncommutative discrete valuation ring.
Witt group of hyperelliptic curves.
Witt groups of projective line bundles.