Back Teorema dels zeros de Hilbert Catalan Hilbertova věta o nulách Czech Hilbertscher Nullstellensatz German Θεώρηµα των μηδενικών του Χίλμπερτ Greek Teorema de los ceros de Hilbert Spanish Hilberti teoreem nullkohtadest Estonian قضیه صفرهای هیلبرت Persian Théorème des zéros de Hilbert French משפט האפסים של הילברט HE Teorema degli zeri di Hilbert Italian
In mathematics, Hilbert's Nullstellensatz (German for "theorem of zeros", or more literally, "zero-locus-theorem") is a theorem that establishes a fundamental relationship between geometry and algebra. This relationship is the basis of algebraic geometry. It relates algebraic sets to ideals in polynomial rings over algebraically closed fields. This relationship was discovered by David Hilbert, who proved the Nullstellensatz in his second major paper on invariant theory in 1893 (following his seminal 1890 paper in which he proved Hilbert's basis theorem).