Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics

09/19/2023
by   Aida Maraj, et al.
0

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 dimension of V is strictly less than the dimension of the above mentioned objects, then V is not a toric variety. We provide an algorithm to compute the Lie algebra of an irreducible variety and use it to provide examples of non-toric statistical models in algebraic statistics.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset