Deformations of zero-dimensional schemes and applications
Commutative Algebra
2014-04-03 v2 Algebraic Geometry
Abstract
In this thesis we consider the geometry of the Hilbert scheme of points in P^n, concentrating on the locus of points corresponding to the Gorenstein subschemes of P^n. New results are given, most importantly we provide tools for constructing flat families and analysis of finite Gorenstein algebras and expose their efficiency by proving smoothability of certain families of algebras. Much of the existing theory and folklore is reviewed, providing a micro-encyclopaedic reference.
Cite
@article{arxiv.1307.8108,
title = {Deformations of zero-dimensional schemes and applications},
author = {Joachim Jelisiejew},
journal= {arXiv preprint arXiv:1307.8108},
year = {2014}
}
Comments
v2: some minor corrections made. 29 pages. This is an MSc thesis done on the University of Warsaw; my adviser is Jaros{\l}aw Buczy\'nski