A Bound for Orders in Differential Nullstellensatz
Commutative Algebra
2013-03-05 v2 Algebraic Geometry
Abstract
We give the first known bound for orders of differentiations in differential Nullstellensatz for both partial and ordinary algebraic differential equations. This problem was previously addressed by A. Seidenberg but no complete solution was given. Our result is a complement to the corresponding result in algebraic geometry, which gives a bound on degrees of polynomial coefficients in effective Nullstellensatz.
Cite
@article{arxiv.0803.0160,
title = {A Bound for Orders in Differential Nullstellensatz},
author = {Oleg Golubitsky and Marina Kondratieva and Alexey Ovchinnikov and Agnes Szanto},
journal= {arXiv preprint arXiv:0803.0160},
year = {2013}
}
Comments
25 pages; improved bound; simplified main argument; more detailed proofs