Degenerations of Jordan Superalgebras

Abstract

We describe degenerations of three-dimensional Jordan superalgebras over $\mathbb{C}$. In particular, we describe all irreducible components in the corresponding varieties.

arXiv admin note: text overlap with arXiv:1611.06454

References in corpus (13)

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Cited by in corpus (10)

• The algebraic and geometric classification of nilpotent anticommutative algebras
• The algebraic and geometric classification of nilpotent Novikov algebras
• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent bicommutative algebras
• Degenerations of Leibniz and anticommutative algebras
• Non-associative algebraic structures: classification and structure
• Degenerations of Jordan Algebras and ''Marginal'' Algebras
• The geometric classification of nilpotent Tortkara algebras
• Degenerations of nilpotent associative commutative algebras
• Varieties of Nilpotent Lie Superalgebras of dimension $\le 5$