Baker-Akhiezer modules on the intersections of shifted theta divisors

Koji Cho, Andrey Mironov, Atsushi Nakayashiki

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1 Citation (Scopus)

Abstract

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
Volume47
Issue number2
DOIs
Publication statusPublished - 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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