Semi-purity of tempered Deligne cohomology

DOI10.1007/BF03191183zbMath1194.14030arXiv1011.3714MaRDI QIDQ848657

José Ignacio Burgos Gil

Publication date: 4 March 2010

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

Full work available at URL: https://arxiv.org/abs/1011.3714

zbMATH Keywords

arithmetic Chow groupsdeligne cohomologydifferential forms and currents

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Zeta functions of regular arithmetic schemes at \(s=0\)

Cites Work

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• Arithmetic characteristic classes of automorphic vector bundles
• Arithmetic intersection theory
• An arithmetic Riemann-Roch theorem
• On the homology of algebras of Whitney functions over subanalytic sets
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• Moderate and formal cohomology associated with constructible sheaves
• On the De Rham cohomology of algebraic varieties

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