Koszul complexes, differential operators, and the Weil-Tate reciprocity law

DOI10.1006/jabr.1998.7955zbMath0989.14004OpenAlexW2001330171MaRDI QIDQ1583644

Emma Previato, Jean-Luc Brylinski

Publication date: 6 March 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7955

zbMATH Keywords

differential operatorsKrichever mapKoszul double complexNakayashiki-Mukai Fourier transformWeil-Tate reciprocity law

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Meromorphic functions of one complex variable (general theory) (30D30) Differentials on Riemann surfaces (30F30)

Related Items (4)

AN ANALYTIC PERSPECTIVE OF WEIL RECIPROCITY ⋮ Unnamed Item ⋮ Joint torsion of several commuting operators ⋮ The resultant on compact Riemann surfaces

Cites Work

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• Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems
• Another algebraic proof of Weil's reciprocity
• Sheaves with connection on abelian varieties
• The geometry of two-dimensional symbols
• Duality between D(X) and with its application to picard sheaves
• Commuting Partial Differential Operators and Vector Bundles Over Abelian Varieties

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