Hilbert's Nullstellensatz
Teorema de los ceros de Hilbert
- Date
- 1893 · confidence high
- Place
- Königsberg (present-day Kaliningrad), Russia
- Credited to
- David Hilbert
- Field
- Knowledge & symbols
What was discovered
A theorem establishing a fundamental correspondence between the ideals of a polynomial ring and algebraic varieties over an algebraically closed field, a cornerstone of modern algebraic geometry; proved by David Hilbert in his second paper on invariant theory.
What it led to
- Foundation of modern algebraic geometry
- Basis for Grothendieck's scheme theory
- Applications in commutative algebra and elimination theory