De Rham cohomology and conductors of curves

DOI10.1215/S0012-7094-87-05417-2zbMath0632.14018MaRDI QIDQ1095208

Spencer Bloch

Publication date: 1987

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

zbMATH Keywords

conductor of an arithmetic surfacefunctional equation for the Hasse-Weil zeta-functiontorsion of the de Rham complex

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) de Rham cohomology and algebraic geometry (14F40) Global ground fields in algebraic geometry (14G25)

Related Items (13)

Galois structure and de Rham invariants of elliptic curves ⋮ SPECIAL VALUES OF THE ZETA FUNCTION OF AN ARITHMETIC SURFACE ⋮ Canonical integral structures on the de Rham cohomology of curves ⋮ Mean-periodicity and zeta functions ⋮ SPECIAL VALUES OF ZETA-FUNCTIONS OF REGULAR SCHEMES ⋮ VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT ⋮ Compatibility of special value conjectures with the functional equation of zeta functions ⋮ Parity in Bloch's conductor formula in even dimension ⋮ Analysis on arithmetic schemes. II ⋮ Weil-étale cohomology and zeta-values of proper regular arithmetic schemes ⋮ Self-intersection 0-cycles and coherent sheaves on arithmetic schemes ⋮ Unnamed Item ⋮ Zeta integrals on arithmetic surfaces

Cites Work

• Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.)
• La conjecture de Weil. I
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