Local Jacobian of a relative formal curve

DOI10.4171/RSMUP/130-1zbMath1317.14100MaRDI QIDQ2438310

Carlos Contou-Carrère

Publication date: 11 March 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

tame symbolContou-Carrère symbolcartier dualitylocal Abel- Jacobi morphismlocal Jacobianlocal relative class field theorylocal symbol(s)relative formal curveRosenlicht Jacobianuniversal Witt bivectorsWitt residues

Mathematics Subject Classification ID

Symbols and arithmetic ((K)-theoretic aspects) (19F15) Group schemes (14L15)

Related Items (12)

A higher-dimensional Contou-Carrère symbol: local theory ⋮ Tate’s thesis in the de Rham setting ⋮ Lattice vertex algebras and loop Grassmannians ⋮ Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem ⋮ Tangent space to Milnor \(K\)-groups of rings ⋮ Continuous homomorphisms between algebras of iterated Laurent series over a ring ⋮ Higher-dimensional Contou-Carrère symbol and continuous automorphisms ⋮ The two-dimensional Contou-Carrère symbol and reciprocity laws ⋮ An explicit formula for the norm in the theory of fields of norms ⋮ On the ramified class field theory of relative curves ⋮ Iterated Laurent series over rings and the Contou-Carrère symbol ⋮ A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions

Cites Work

• A categorical proof of the Parshin reciprocity laws on algebraic surfaces
• A direct proof of the Steinberg property of the Contou-Carrère symbol
• $\epsilon$-Factors for the Period Determinants of Curves
• Simple Proofs of Classical Explicit Reciprocity Laws on Curves Using Determinant Groupoids Over an Artinian Local Ring
• Formal loops II: A local Riemann–Roch theorem for determinantal gerbes
• Lectures on Curves on an Algebraic Surface. (AM-59)
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