Semi-stability and heights of cycles

DOI10.1007/BF01231533zbMath0873.14028MaRDI QIDQ1340640

Jean-Benoît Bost

Publication date: 20 May 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144236

zbMATH Keywords

heightarithmetic varietyalgebraic cycleArakelov degreeeffective cyclesemi-stable Chow point

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25)

Related Items (16)

Canonical Kähler metrics and arithmetics: generalizing Faltings heights ⋮ Local invariants attached to Weierstrass points ⋮ Effective bound of linear series on arithmetic surfaces ⋮ Faltings modular height and self-intersection of dualizing sheaf ⋮ Intrinsic heights of stable varieties and abelian varieties ⋮ Concerning the semistability of tensor products in Arakelov geometry ⋮ Heights of vector bundles and the fundamental group scheme of a curve ⋮ Slope inequalities for KSB‐stable and K‐stable families ⋮ New slope inequalities for families of complete intersections ⋮ Effective bounds of linear series on algebraic varieties and arithmetic varieties ⋮ Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves ⋮ Slope inequalities for fibred surfaces via GIT ⋮ Unnamed Item ⋮ Maximal slope of tensor product of Hermitian vector bundles ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ Fibered varieties over curves with low slope and sharp bounds in dimension three

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