Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems
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Publication:809154
DOI10.1215/S0012-7094-91-06213-7zbMath0732.14008OpenAlexW1528625432MaRDI QIDQ809154
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
Fourier transformPicard varietyBA-module of a principally polarized Abelian varietyBaker-Akhiezer module
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
Cites Work
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- Integrals of the second kind on an algebraic variety
- Characterization of Jacobian varieties in terms of soliton equations
- Geometric realization of conformal field theory on Riemann surfaces
- Determinant bundles and Virasoro algebras
- Tata lectures on theta. III
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Cohomological structure in soliton equations and Jacobian varieties
- On the periods of certain rational integrals. I, II
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Duality between D(X) and with its application to picard sheaves
- Characteristic Linear Systems of Complete Continuous Systems
- The twistor transformation and algebraic-geometric constructions of solutions of the equations of field theory
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
