On the lattice-geometry and birational group of the six-point multi-ratio equation

James Atkinson

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    The inherent self-consistency properties of the six-point multi-ratio equation allow it to be considered on a domain associated with a T-shaped Coxeter–Dynkin diagram. This extends the Kadomtsev–Petviashvili lattice, which has AN symmetry, and incorporates also Korteweg–de Vries-type dynamics on a sub-domain with DN symmetry, and Painlevé dynamics on a sub-domain with E∼8 symmetry. More generally, it can be seen as a distinguished representation of Coble’s Cremona group associated with invariants of point sets in projective space.
    Original languageEnglish
    Pages (from-to)20140612
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume471
    Issue number2173
    DOIs
    Publication statusPublished - 3 Dec 2014

    Fingerprint Dive into the research topics of 'On the lattice-geometry and birational group of the six-point multi-ratio equation'. Together they form a unique fingerprint.

    Cite this