Baker-Akhiezer modules on the intersections of shifted theta divisors

Koji Cho, Andrey Mironov, Atsushi Nakayashiki

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    1 Citation (Scopus)


    The restriction, on the spectral variables, of the Baker-Akhiezer (BA) module of a g- dimensional principally polarized abelian variety with the non-singular theta divisor to an intersection of shifted theta divisors is studied. It is shown that the restriction to a k-dimensional variety becomes a free module over the ring of differential operators in k variables. The remaining g - k derivations dene evolution equations for generators of the BA-module. As a corollary new examples of commutative rings of partial differential operators with matrix coecients and their non-trivial evolution equations are obtained.

    Original languageEnglish
    Pages (from-to)553-567
    Number of pages15
    JournalPublications of the Research Institute for Mathematical Sciences
    Issue number2
    Publication statusPublished - 2011

    All Science Journal Classification (ASJC) codes

    • General Mathematics


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