The question of Arnold on classification of co-Artin subalgebras in singularity theory (Q6580167)
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scientific article; zbMATH DE number 7888137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The question of Arnold on classification of co-Artin subalgebras in singularity theory |
scientific article; zbMATH DE number 7888137 |
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The question of Arnold on classification of co-Artin subalgebras in singularity theory (English)
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29 July 2024
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The article is devoted to co-Artin subalgebras. It is motivated by a problem of a classification of curve singularity in the theory of algebraic curves. A family of subalgebras of the polynomial algebra over a field \(K\) is studied. Their affine algebraic varieties are investigated. On such algebraic varieties algebras of regular functions are studied. Their generators and defining realtions are specified. Automorphism groups of these algebras are described.
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algebraic curve
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singularity
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algebraic variety
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regular function
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moduli space
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automorphism
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normalization
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generator
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