Inequalities for semistable families of arithmetic varieties.

DOI10.1215/kjm/1250517650zbMath1041.14007arXivalg-geom/9710007OpenAlexW1834022839MaRDI QIDQ5947030

Shu Kawaguchi, Atsushi Moriwaki

Publication date: 2001

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9710007

zbMATH Keywords

vector bundlesarithmetic Chow grouplocally integrable formsrelative Bogomolov's inequalityRiemann-Roch theoremssemistable families of arithmetic varieties

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) (Equivariant) Chow groups and rings; motives (14C15) Topological properties in algebraic geometry (14F45)

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