Generalized reciprocity laws

DOI10.1090/S0002-9947-08-04554-6zbMath1194.14037MaRDI QIDQ3508026

Fernando Pablos Romo, José María Muñoz Porras

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (8)

Evolution of smooth shapes and integrable systems ⋮ Arithmetic infinite Grassmannians and the induced central extensions ⋮ A general reciprocity law for symbols on arbitrary vector spaces ⋮ AN ANALYTIC PERSPECTIVE OF WEIL RECIPROCITY ⋮ An explicit reciprocity law associated to some finite coverings of algebraic curves ⋮ An idelic quotient related to Weil reciprocity and the Picard group ⋮ Adelic and idelic pairings related to Weil reciprocity on algebraic curves ⋮ Classical and Stochastic Löwner–Kufarev Equations

Cites Work

• Loop groups and equations of KdV type
• Quantum field theory, Grassmannians, and algebraic curves
• A generalization of the Contou-Carrère symbol
• Drinfeld moduli schemes and infinite Grassmannians
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Simple Proofs of Classical Explicit Reciprocity Laws on Curves Using Determinant Groupoids Over an Artinian Local Ring
• The algebraic formalism of soliton equations over arbitrary base fields
• ON THE TAME SYMBOL OF AN ALGEBRAIC CURVE
• Residues of differentials on curves
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