Automorphism 2-group of a weighted projective stack

Details Automorphism 2-group of a weighted projective stack Automorphism 2-group of a weighted projective stack

2007-04-08

arxiv.org/abs/0704.1010v1

Mathematics

Algebraic Geometry

Scientific paper

For a given sequence of positive integers $(n_0,...,n_r)$ we define the {\em weighted projective general linear 2-group} $PGL(n_0,...,n_r)$ as a crossed-module in the category of schemes and show that it is a model for (i.e is naturally homotopy equivalent to) the {\em gr}-stack of self-equivalences of the weighted projective stack of weight $(n_0,...,n_r)$. We also give an explicit description of the structure of $PGL(n_0,...,n_r)$.

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