Effective Nullstellensatz for Arbitrary Ideals
| dc.creator | Kollár, János | |
| dc.date | 1998-05-20 | |
| dc.date.accessioned | 2026-07-07T05:24:48Z | |
| dc.date.available | 2026-07-07T05:24:48Z | |
| dc.description | Let $f_i$ be polynomials in $n$ variables without a common zero. Hilbert's Nullstellensatz says that there are polynomials $g_i$ such that $\sum g_if_i=1$. The effective versions of this result bound the degrees of the $g_i$ in terms of the degrees of the $f_j$. The aim of this paper is to generalize this to the case when the $f_i$ are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz--type inequialities and to deformation theory are also discussed. | |
| dc.description | LATEX2e, 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/9805091 | |
| dc.identifier | http://arxiv.org/abs/math/9805091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76945 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Effective Nullstellensatz for Arbitrary Ideals | |
| dc.type | text |