2015/02/20 by Rebecca Black, Black, Rebecca
Mathematics · #14 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14
paper · pdf · doi:10.48550/arxiv.1502.05965
7 pages; slight generalization of the main result from previous version to apply to a larger class of p-groups
arxiv created 2018/01/02 · arxiv updated 2018/01/04
For a complex algebraic variety X, we show that triviality of the sheaf cohomology group H0(X,H3) occurring on the second page of the Bloch-Ogus spectral sequence follows from a condition on the integral Chow group CH2X and the integral cohomology group H3(X, Z). In the case that X is an appropriate approximation to the classifying stack BG of a finite p-group G, this result states that the group G has no degree three cohomological invariants. As a corollary we show that the nonabelian groups of order p3 for odd prime p have no degree three cohomological invariants.