A relation between standard conjectures and their arithmetic analogues

DOI10.2996/kmj/1138043938zbMath0932.14014arXivalg-geom/9608003OpenAlexW1973448126WikidataQ123351488 ScholiaQ123351488MaRDI QIDQ1288519

Yuichiro Takeda

Publication date: 22 September 1999

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9608003

zbMATH Keywords

arithmetic varietyalgebraic cyclehard Lefschetz theoremHodge index theoremArakelov Chow groupArakelov variety

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (2)

Numerical equivalence of \(\mathbb{R} \)-divisors and Shioda-Tate formula for arithmetic varieties ⋮ Standard conjectures for the arithmetic Grassmannian \(G(2,N)\) and Racah polynomials.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculus on arithmetic surfaces
• Height pairings for algebraic cycles
• Higher regulators and values of \(L\)-functions
• Arithmetic intersection theory
• Hodge index theorem for arithmetic cycles of codimension one
• Heights and Arakelov's Intersection Theory
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
• Positive Line Bundles on Arithmetic Varieties
• Higher Picard varieties and the height pairing

This page was built for publication: A relation between standard conjectures and their arithmetic analogues