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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 | ||
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+ | 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: | ||
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+ | Theorem: | ||
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+ | Applications: | ||
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+ | Sources: |
Revision as of 12:30, 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: