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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.AG2025
Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics
Aida Maraj, Arpan Pal
The motivation for this paper is to detect when an irreducible projective variety V is not toric. We do this by analyzing a Lie group and a Lie algebra associated to V. If the dime…