Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres

DOI10.1007/BF01444217zbMath0845.14015arXivalg-geom/9502014MaRDI QIDQ1914736

Atsushi Moriwaki

Publication date: 9 July 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9502014

zbMATH Keywords

JacobianNéron-Tate heightarithmetic surfaceBogomolov conjectureself-intersection of dualizing sheaves

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Hypersurfaces and algebraic geometry (14J70)

Related Items (2)

Effective bound of linear series on arithmetic surfaces ⋮ Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces

Cites Work

• Admissible pairing on a curve
• Calculus on arithmetic surfaces
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