The structure of the pro-l-unipotent fundamental group of a smooth variety
Algebraic Geometry
2009-09-29 v2
Abstract
By developing a theory of deformations over nilpotent Lie algebras, based on Schlessinger's deformation theory over Artinian rings, this paper investigates the pro-l-unipotent fundamental group of a variety X. If X is smooth and proper, defined over a finite field, then the Weil conjectures imply that this group is quadratically presented. If X is smooth and non-proper, then the group is defined by equations of bracket length at most four.
Keywords
Cite
@article{arxiv.math/0401378,
title = {The structure of the pro-l-unipotent fundamental group of a smooth variety},
author = {J. P. Pridham},
journal= {arXiv preprint arXiv:math/0401378},
year = {2009}
}
Comments
28 pages; v2 minor emendations