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arXiv · 2309.10741

Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics

Aida Maraj·Arpan Pal
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Abstract

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.

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Aida Maraj, Arpan Pal. 2023-09-19. Symmetry Lie Algebras of Varieties with Applications to Algebraic Statistics. https://arxiv.org/abs/2309.10741

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