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An invitation to positive geometries

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arxiv 2208.05407 v1 pith:26DQBKLR submitted 2022-08-10 math.CO hep-thmath.AG

classification math.COhep-thmath.AG
keywords geometriespositiveaudienceintroductioninvitationmathematicalopacshort
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This short introduction to positive geometries, targeted at a mathematical audience, is based on my talk at OPAC 2022.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Taking the amplituhedron to the limit

    math.AG 2025-01 conditional novelty 7.0 of 10

    The limit amplituhedron for m=2 and any k is a positive geometry whose algebraic boundary is the union of the Chow hypersurface of a rational normal curve and the Chow hypersurface of a secant line.

  2. Euler Discriminant of Complements of Hyperplanes

    math.AG 2024-11 conditional novelty 7.0 of 10

    The Euler discriminant of families of hyperplane complements is the zero set of an explicit product of determinants indexed by connected square subgraphs.

  3. Points on Rational Normal Curves and the ABCT Variety

    math.AG 2024-12 conditional novelty 6.0 of 10

    The paper derives a recursive formula for the cohomology class of the ABCT variety V(3,n) inside the Grassmannian G(3,n), using a determinantal realization and Porteous' formula, and matches special coefficients to Eu...

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