Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps

Details Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps

2010-11-15

arxiv.org/abs/1011.3448v1

Mathematics

Algebraic Geometry

Scientific paper

We offer a groupoid-theoretic approach to computing invariants. We illustrate this approach by describing the Gel'fand-MacPherson correspondence and the Gale transform as well as giving Zariski-local descriptions of the moduli space of ordered points in P^1. We give an explicit description of the moduli space M_0(P^1,2) over Spec Z. In characteristic 2, there is a singularity at the totally ramified cover which is isomorphic to the affine cone over the Veronese embedding P^1 --> P^4.

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