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| − | Ryan Walter | + | Hilbert’s Nullstellensatz: Proofs and Applications |
| + | Author: Ryan Walter | ||
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| + | Table of Contents: | ||
| + | 1. Introduction | ||
| + | 2. Vocab | ||
| + | 3. Theorem | ||
| + | a. Weak | ||
| + | b. Strong | ||
| + | 4. Applications | ||
| + | 5. Sources | ||
| + | |||
| + | Introduction: | ||
| + | Hilbert's Nullstellensatz is a relationship between algebra and geometry that was discovered by David Hilbert in 1900. Nullstellensatz is a German word that translates roughly to “Theorem of Zeros” or more precisely, “Zero Locus Theorem.” The Nullstellensatz is a foundational theorem that greatly advanced the study of algebraic geometry by proving a strong connection between geometry and a branch of algebra called commutative algebra. Both the Nullstellensatz and commutative algebra focus heavily on ‘rings,’ which will be defined in the vocabulary section. | ||
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| + | Vocab: | ||
| + | |||
| + | Theorem: | ||
| + | |||
| + | Applications: | ||
| + | |||
| + | Sources: | ||
Revision as of 13:30, 29 November 2020
Hilbert’s Nullstellensatz: Proofs and Applications Author: Ryan Walter
Table of Contents: 1. Introduction 2. Vocab 3. Theorem a. Weak b. Strong 4. Applications 5. Sources
Introduction: Hilbert's Nullstellensatz is a relationship between algebra and geometry that was discovered by David Hilbert in 1900. Nullstellensatz is a German word that translates roughly to “Theorem of Zeros” or more precisely, “Zero Locus Theorem.” The Nullstellensatz is a foundational theorem that greatly advanced the study of algebraic geometry by proving a strong connection between geometry and a branch of algebra called commutative algebra. Both the Nullstellensatz and commutative algebra focus heavily on ‘rings,’ which will be defined in the vocabulary section.
Vocab:
Theorem:
Applications:
Sources:
