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What is Positive Geometry?

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arxiv 2502.12815 v2 pith:XRZKFLSX submitted 2025-02-18 math.AG hep-thmath.CO

Kristian Ranestad , Bernd Sturmfels , Simon Telen This is my paper
classification math.AGhep-thmath.CO
keywords geometrypositivevolumeaddressedanswerarticleattemptchallenges
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This article serves as an introduction to the special volume on Positive Geometry in the journal Le Matematiche. We attempt to answer the question in the title by describing the origins and objects of positive geometry at this early stage of its development. We discuss the problems addressed in the volume and report on the progress. We also list some open challenges.

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  1. Geometric Landau Analysis and Symbol Bootstrap

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    Boundary structure of negative geometries, combined with Landau analysis, determines physical singularities and yields symbol alphabets for six-point two-loop and five-point three-loop ladder integrals in planar N=4 s...

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