Degenerations of Jordan Superalgebras
Mar\'ia Alejandra Alvarez, Isabel Hern\'andez, and Ivan Kaygorodov
TL;DR
This paper classifies how three-dimensional Jordan superalgebras over the complex numbers can degenerate into each other, identifying all irreducible components of their algebraic varieties.
Contribution
It provides a complete description of degenerations and irreducible components for three-dimensional Jordan superalgebras over ield.
Findings
All irreducible components of the variety of three-dimensional Jordan superalgebras identified.
Explicit descriptions of degenerations between different superalgebras provided.
Classification results contribute to understanding the geometric structure of Jordan superalgebra varieties.
Abstract
We describe degenerations of three-dimensional Jordan superalgebras over . In particular, we describe all irreducible components in the corresponding varieties.
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