The algebraic and geometric classification of Jordan superalgebras

The algebraic and geometric classification of Jordan superalgebras

Abdurasulov K., Lubkov R., Saydaliyev A.
Siberian Electronic Mathematical Reports, 22, 1, pp. 813-852 (2025)

УДК 512.554 
DOI: 10.33048/semi.2025.22.052  
MSC 17C70


Abstract:

We give the algebraic and geometric classification of complex four-dimensional Jordan superalgebras. In particular, we describe all irreducible components in the corresponding varieties.

Keywords: Jordan superalgebra, orbit closure, degeneration, rigid superalgebra.