In mathematics, Hilbert's Nullstellensatz is a theorem that establishes a fundamental relationship between geometry and algebra. This relationship is the ...

19 апр. 2023 г. · Hilbert's Nullstellensatz (theorem about zero loci) characterizes the joint zero loci of an ideal of functions in a polynomial ring.

10 июл. 2016 г. · It is stated, that Hilbert's Nullstellensatz is well understood as theorem about more general Jacobson rings.

Der Zwischenwertsatz und sein Spezialfall, der Nullstellensatz, sind zwei Sätze über stetige Funktionen. Der Zwischenwertsatz besagt im Wesentlichen, ...

10 дек. 2023 г. · We establish a tropical Nullstellensatz adapted to {\em sparse} tropical polynomial systems. Our approach is inspired by a construction of Canny-Emiris (1993).

In this paper we prove these two theorems, which may be called Combinatorial Nullstellensatz, and describe several combinatorial applications of them. After ...

7 Nullstellensatz 8 Primary decomposition 9 Projective geometry 10 Projective elimination theory 11 Parametrizing linear subspaces 12 Hilbert polynomials and ...

21 янв. 2011 г. · Nullstellensatz means "zero-locus-theorem," and thus a "nullstellensatz" should prove something about the zero locus of general sets of polynomials.

The problem of deciding whether a system of polynomial equations in several complex variables has a solution is in the second level of the polynomial hierarchy.

Hilbert's Nullstellensatz is the most fundamental theorem in algebraic geometry, estab- lishing a rigorous correspondence between geometry and commutative ...