Line bundles on arithmetic surfaces and intersection theory

DOI10.1007/BF02567943zbMath0949.14013MaRDI QIDQ1352975

Jörg Jahnel

Publication date: 13 April 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156218

zbMATH Keywords

JacobianNéron-Tate heightheight functionsarithmetic intersection theoryintersection pairingline bundles on arithmetic varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

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• Calculus on arithmetic surfaces
• Period, index and potential \(\text Ш\)
• Intersection theory using Adams operations
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• Arithmetic intersection theory
• Rational equivalence on singular varieties
• An arithmetic Riemann-Roch theorem
• Heights and Arakelov's Intersection Theory
• Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
• Heights of Projective Varieties and Positive Green Forms
• Higher Picard varieties and the height pairing

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