Finite type and the effective Nullstellensatz
Algebraic Geometry
2007-05-23 v1 Complex Variables
Abstract
Improved local and global versions of the effective Nullstellensatz for ideal sheaves on non-singular complex varieties are obtained, based on a new invariant motivated by the notion of finite type from the theory of several complex variables. Two closely related curve selection theorems for curves with maximal adjusted tangency orders to a given ideal sheaf are established along the way, using normalized blow-ups and integral closures.
Cite
@article{arxiv.math/0603666,
title = {Finite type and the effective Nullstellensatz},
author = {Gordon Heier},
journal= {arXiv preprint arXiv:math/0603666},
year = {2007}
}
Comments
12 pages