4 papers
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).…
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…
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…
Order and chain polytopes of maximal ranked posets
Ibrahim Ahmad, Ghislain Fourier, Michael Joswig
The order and chain polytopes, introduced by Richard P. Stanley, form a pair of Ehrhart equivalent polytopes associated to a given finite poset. A conjecture by Takayuki Hibi and N…