The decomposition group of a line in the plane

2016/01/12 by Isac Hedén, Hedén, Isac, Susanna Zimmermann +1
Mathematics · #14E07 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E07

paper · pdf · doi:10.48550/arxiv.1601.02725

15 pages, 7 figures

arxiv created 2016/04/26 · arxiv updated 2016/04/27

Abstract

We show that the decomposition group of a line L in the plane, i.e. the subgroup of plane birational transformations that send L to itself birationally, is generated by its elements of degree 1 and one element of degree 2, and that it does not decompose as a non-trivial amalgamated product.

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