Zobrazeno 1 - 10
of 211
pro vyhledávání: '"19D45"'
Autor:
de Jeu, Rob
Let $C$ be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of $C$ for the generators that are required for the cokernel of the tame symbol, as well as, under a simplifying assumption, it
Externí odkaz:
http://arxiv.org/abs/2407.07974
Autor:
Dotto, Emanuele
We describe the modulo $2$ de Rham-Witt complex of a field of characteristic $2$, in terms of the powers of the augmentation ideal of the $\mathbb{Z}/2$-geometric fixed points of real topological restriction homology TRR. This is analogous to the con
Externí odkaz:
http://arxiv.org/abs/2405.02054
Autor:
Chapman, Adam, Levin, Ilan
We associate an $(n_1+\dots+n_t-k(t-1))$-fold Pfister form to any $t$-tuple of $k$-linked Pfister forms of dimensions $2^{n_1},\dots,2^{n_t}$, and prove its invariance under the different symbol presentations of the forms with a common $k$-fold sub-s
Externí odkaz:
http://arxiv.org/abs/2404.00121
Autor:
Chapman, Adam
We prove that two cyclically linked $p$-algebras of prime degree become inseparably linked under a prime to $p$ extension if and only if the essential $p$-dimension of the pair is 2. We conclude that the essential $p$-dimension of pairs of cyclically
Externí odkaz:
http://arxiv.org/abs/2403.11154
For each integer $n\geq 1$, we construct a $\operatorname{GL}_n(\mathbb Q)$-invariant modular symbol $\bm\xi_n$ with coefficients in a space of distributions that takes values in the Milnor $K_n$-group of the modular function field. The Siegel distri
Externí odkaz:
http://arxiv.org/abs/2311.14620
Autor:
Wittich, Thor
For all positive integers $n$ and all homotopy modules $M_*$, we define certain operations $\underline{\operatorname{K}}^{\operatorname{MW}}_n \rightarrow M_*$ and show that these generate the $M_*(k)$-module of all (in general non-additive) operatio
Externí odkaz:
http://arxiv.org/abs/2308.01008
In this article, we prove several transfer principles for the cohomological dimension of fields. Given a fixed field $K$ with finite cohomological dimension $\delta$, the two main ones allow to: - construct totally ramified extensions of $K$ with coh
Externí odkaz:
http://arxiv.org/abs/2308.00903
Autor:
Garrel, Nicolas
In order to study certain algebraic objects, and notably algebraic groups, Serre introduced the notion on invariants, in particular cohomological invariants. The construction of non-trivial cohomological invariants of algebraic groups is an active ar
Externí odkaz:
http://arxiv.org/abs/2304.00082
We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the $u$-invariant, the reduced stability index and the symbol lengths for Galois cohomology groups with coefficients in
Externí odkaz:
http://arxiv.org/abs/2303.06485
We prove duality theorems for the {\'e}tale cohomology of logarithmic Hodge-Witt sheaves and split tori on smooth curves over a local field of positive characteristic. As an application, we obtain a description of the Brauer group of the function fie
Externí odkaz:
http://arxiv.org/abs/2302.06069