Smooth scheme morphisms: a fresh view
Algebraic Geometry
2016-11-07 v3 Commutative Algebra
Abstract
Relations between some kinds of formal and standard smoothness, for morphisms of schemes, are clarified in surprisingly simple and direct ways, bypassing much of the customarily employed machinery. Even the deep local-to-global property of formal smoothness has a fairly elementary proof, under mild additional hypotheses.
Cite
@article{arxiv.1602.06569,
title = {Smooth scheme morphisms: a fresh view},
author = {Peter M Johnson},
journal= {arXiv preprint arXiv:1602.06569},
year = {2016}
}
Comments
v3: New title. Introduction largely rewritten, other minor alterations. 11 pages