Lifting zero-dimensional schemes and divided powers
Commutative Algebra
2019-02-18 v2 Algebraic Geometry
Abstract
We study divided power structures on finitely generated -algebras, where is a field of positive characteristic . As an application we show examples of -dimensional Gorenstein -schemes that do not lift to a fixed noetherian local ring of non-equal characteristic. We also show that Frobenius neighbourhoods of a singular point of a general hypersurface of large dimension have no liftings to mildly ramified rings of non-equal characteristic.
Keywords
Cite
@article{arxiv.1711.05252,
title = {Lifting zero-dimensional schemes and divided powers},
author = {Adrian Langer},
journal= {arXiv preprint arXiv:1711.05252},
year = {2019}
}
Comments
v2: various changes, added interesting Example 4.3, 12 pages, to appear in Bull. Lond. Math. Soc