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Quadrangular sets in projective line and in Moebius space, and geometric interpretation of the non-commutative discrete Schwarzian Kadomtsev-Petviashvili equation

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arxiv 1903.11952 v1 pith:DOBYLFRR submitted 2019-03-28 nlin.SI

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keywords interpretationprojectiveequationlinediscretegeometricgeometrykadomtsev-petviashvili
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We present geometric interpretation of the discrete Schwarzian Kadomtsev-Petviashvili equation in terms of quadrangular set of points of a projective line. We give also the corresponding interpretation for the projective line considered as a Moebius chain space. In this way we incorporate the conformal geometry interpretation of the equation into the projective geometry approach via Desargues maps.

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Cited by 1 Pith paper

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  1. Tetrahedron maps and symmetries of three dimensional integrable discrete equations

    nlin.SI 2019-08 conditional novelty 6.0 of 10

    A symmetry-invariant method for 3D lattice equations produces tetrahedron maps, including new vector, non-commutative, and entwining examples.

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