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Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) - MaRDI portal

Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) (Q1369263)

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scientific article; zbMATH DE number 1076267
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English
Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\)
scientific article; zbMATH DE number 1076267

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    Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) (English)
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    16 February 1999
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    The paper deals with the classification of a certain class of quadratic regular algebras of global dimension four, i.e. those having the same Hilbert series as the polynomial ring in four indeterminates, and which map onto a twisted homogeneous coordinate ring of a nonsingular quadric in \(\mathbb{P}^3\) via a graded morphism (of degree zero).
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    quadratic regular algebras
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    global dimension
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    Hilbert series
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    twisted homogeneous coordinate rings
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    nonsingular quadrics
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