Galois Cohomology Page 1 CHAPTER X Galois Cohomology § 1. First Examples Let Kjk be a
finite Galois extension with Galois group G. The group G acts both on the additive group of K and …

From the reviews:" This book surveys an elegant new subject which has developed out of
the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early …

We give an expository account of Nullstellensatz-like results when the base field is finite. In
particular, we discuss the vanishing ideal of the affine space and of the projective space …

Nous étudions dans l'anneau% plane1D; 53D; q [X0, X1,…, Xm] des polynômes à m+ 1
variables et à coefficients dans le corps fini à q éléments, l'idéal homogène ℐ engendré par …

Let k be a field of characteristic 2, and let L/k be a finite Galois extension, with Galois group
G. We show the equivalence of the following two properties:(∗) The group G is generated by …

We investigate the trace form trL/K: L→ K: x↦ trL/Kx2of a finite Galois extensionL/K. In
particular, we study 2-extensions of degree≤ 16. Using some reduction theorems, these …

In this paper, a convenient set of functions is identified whose span includes all functions in
a tower of function fields of Garcia and Stichtenoth that have poles only at the place at …

arXiv:1210.5765v2 [math.NT] 10 May 2013 Page 1 arXiv:1210.5765v2 [math.NT] 10 May 2013
to appear in Izvestiya Math. 77 (2013) Hasse principle for G–trace forms E. Bayer–Fluckiger, R …

Trace forms of Galois field extensions in the presence of roots of unity Page 1 J. reine angew.
Math. 549 (2002), 79—89 Journal für die reine und angewandte Mathematik ( Walter de …

Lines on cubic surfaces, Witt invariants and Stiefel–Whitney classes - ScienceDirect Skip to
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