Calculus on arithmetic surfaces
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Publication:802613
DOI10.2307/2007043zbMath0559.14005OpenAlexW2014174697WikidataQ56958673 ScholiaQ56958673MaRDI QIDQ802613
Publication date: 1984
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2007043
elliptic curvesArakelov divisorRiemann-Roch theoremeffective divisorszeta-functionsHodge index theoremintersection products on an arithmetic surfaceNéron-Tate heightsNoether formula
Riemann-Roch theorems (14C40) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Harmonic functions on Riemann surfaces (30F15) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
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