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

DOI10.1215/S0012-7094-91-06213-7zbMath0732.14008OpenAlexW1528625432MaRDI QIDQ809154

Atsushi Nakayashiki

Publication date: 1991

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06213-7

zbMATH Keywords

Fourier transformPicard varietyBA-module of a principally polarized Abelian varietyBaker-Akhiezer module

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items

Discretization of Baker–Akhiezer modules and commuting difference operators in several discrete variables, Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve, DIFFERENTIAL STRUCTURE OF ABELIAN FUNCTIONS, Surprising examples of nonrational smooth spectral surfaces, On hyperelliptic abelian functions of genus 3, Factorization and resultants of partial differential operators, Commutative partial differential operators, Baker-Akhiezer modules on the intersections of shifted theta divisors, Sheaves with connection on abelian varieties, Koszul complexes, differential operators, and the Weil-Tate reciprocity law, A Fourier transform for sheaves on real tori. II: Relative theory

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