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arXiv · 2110.12849

The geometric classification of nilpotent commutative $\mathfrak{CD}$-algebras

Doston Jumaniyozov·Ivan Kaygorodov·Abror Khudoyberdiyev
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Abstract

We give a geometric classification of complex $5$-dimensional nilpotent commutative $\mathfrak{CD}$-algebras. The corresponding geometric variety has dimension $24$ and decomposes into $10$ irreducible components determined by the Zariski closures of a two-parameter family of algebras, three one-parameter families of algebras, and $6$ rigid algebras.

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Doston Jumaniyozov, Ivan Kaygorodov, Abror Khudoyberdiyev. 2021-10-02. The geometric classification of nilpotent commutative $\mathfrak{CD}$-algebras. https://doi.org/10.1007/s40574-021-00313-5

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