3 papers
math.AG2026
Openness of local properties in flat families of superschemes
Ibrahim Ahmad
Recently, Jankowski introduced the Serre criteria for superschemes to define the super versions of normality and reducedness (called generic fermionic regularity and reducedness).…
math.RT2026
FFLV bases for covariant representations of
Ibrahim Ahmad, Pranav Enugandla
We study the PBW filtration on covariant representations for the Lie superalgebra . We prove for all covariant weights of the form , that there e…
math.AG2025
Flat degenerations of flag supermanifolds for basic Lie superalgebras
Ibrahim Ahmad
Motivated by bases of representations compatible with the PBW filtration for basic Lie superalgebras by Kus and Fourier, we generalise the construction of degenerations of flag var…