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Geometry of the Gaussian graphical model of the cycle

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arxiv 2111.02937 v1 pith:HU6G7UH7 submitted 2021-11-04 math.AG

classification math.AG
keywords cyclegaussiangraphicalmodelassociatedcompleteconcerningconjecture
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We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods based on the intersection theory in the space of complete quadrics.

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  1. Mixed Eulerian numbers and beyond

    math.AG 2025-02 accept novelty 8.0 of 10

    First explicit formula for mixed Eulerian numbers, and proof that matroidal mixed Eulerian numbers determine Derksen's G-invariant.

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