Bott-Chern forms and arithmetic intersections

zbMath0917.32025arXivalg-geom/9611005MaRDI QIDQ1373332

Harry Tamvakis

Publication date: 8 January 1998

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9611005

zbMATH Keywords

Arakelov theoryhermitian vector bundleGreen currentsGrassmanianarithmetic varietiesarithmetic intersection theoryarithmetic Chern classesarithmetic Chow groupsBott-Chern formsprojectively flat vector bundle

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Kähler-Einstein manifolds (32Q20) Partial differential equations on manifolds; differential operators (58J99) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Computations of Bott-Chern classes on \(\mathbb{P}(E)\) ⋮ Schubert calculus on the arithmetic Grassmannian ⋮ Schubert polynomials and Arakelov theory of orthogonal flag varieties

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