Computing the Cohomological Brauer Group of a Toric Variety

Details Computing the Cohomological Brauer Group of a Toric Variety Computing the Cohomological Brauer Group of a Toric Variety

1992-03-18

arxiv.org/abs/alg-geom/9203003v1

Mathematics

Algebraic Geometry

3 pages, AMS-LaTeX

Scientific paper

The purpose of this article is to show how one might compute the \'etale cohomology groups $H^p_{\acute{e}t}(X,G_m)$ in degrees $p=0$, $1$ and $2$ of a toric variety $X$ with coefficients in the sheaf of units. The method is to reduce the computation down to the problem of diagonalizing a matrix with integral coefficients. The procedure outlined in this article has been fully implemented by the author as a program written in the ``C'' programming language.

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