On the intractability of Hilbert's Nullstellensatz and an algebraic version (1996)
by
Michael Shub
,
Steve Smale
| Venue: | Duke Mathematical Journal |
| Citations: | 22 - 0 self |
BibTeX
@ARTICLE{Shub96onthe,
author = {Michael Shub and Steve Smale},
title = {On the intractability of Hilbert's Nullstellensatz and an algebraic version},
journal = {Duke Mathematical Journal},
year = {1996},
volume = {81},
pages = {47--54}
}
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Abstract
In this paper we relate an elementary problem in number theory to the intractability of deciding whether an algebraic set defined over the complex numbers (or any algebraically closed field of characteristic zero) is empty. More precisely, we first conjecture:
Citations
| 26 | Some Remarks on Bézout’s Theorem and Complexity Theory,” From Topology to Computation - Shub - 1990 |
| 22 | On the intrinsic complexity of elimination theory - Heintz, Morgenstern - 1993 |
| 9 | Bounds for the degrees - Brownawell - 1987 |
