Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems (Q809154)

Let X be a nonsingular projective algebraic variety, D an ample subvariety and \({\mathcal F}(X,D)\) the sheaf on the Picard variety of X defined as a Fourier transform of the sheaf \({\mathcal O}_ X(_*D)\), with the universal family of flat line bundles on X as a kernel. \({\mathcal F}(X,D)\) is a Baker-Akhiezer module (i.e. a BA-module). The author studies the BA-module of a principally polarized Abelian variety.