3 papers
math.AG2026
Computing the continuous symmetries of a parametrized variety
Benjamin Biaggi, Jan Draisma, Fulvio Gesmundo +2
We prove that the symmetry Lie algebra of a parametrized variety can be determined directly from the parametrization, without computing the vanishing ideal of the variety. We deriv…
math.AC2022
Shift Invariant Algebras, Segre Products and Regular Languages
Aida Maraj, Uwe Nagel
Motivated by results on the rationality of equivariant Hilbert series of some hierarchical models in algebraic statistics we introduce the Segre product of formal languages and app…
math.AC2019
Equivariant Hilbert series for hierarchical models
Aida Maraj, Uwe Nagel
Toric ideals to hierarchical models are invariant under the action of a product of symmetric groups. Taking the number of factors, say m, into account, we introduce and study invar…