A Hirzebruch Proportionality Principle in Arakelov Geometry

DOI10.1007/0-8176-4447-4_11zbMath1101.14035arXivmath/0105102OpenAlexW2143129550MaRDI QIDQ5482701

Kai Köhler

Publication date: 28 August 2006

Published in: Number Fields and Function Fields—Two Parallel Worlds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105102

zbMATH Keywords

Riemann-Roch theoremArakelov version of Hirzebruch proportionality principleformula for a critical power of Hodge bundle.tautological subring in the arithmetic Chow ring of bases of abelian schemes

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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