Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds

DOI10.1002/mana.200310230zbMath1068.14069arXivmath/0311086OpenAlexW2100412319MaRDI QIDQ4651841

Gordon Heier

Publication date: 22 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/0311086

zbMATH Keywords

canonical bundleChow varieties

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Automorphisms of surfaces and higher-dimensional varieties (14J50) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (5)

Uniformly effective Shafarevich conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus ⋮ On rational maps from a general surface in to surfaces of general type ⋮ Small bound for birational automorphism groups of algebraic varieties (with an appendix by Yujiro Kawamata) ⋮ On the finiteness theorem for rational maps on a variety of general type ⋮ ALGEBRAIC FOLIATIONS DEFINED BY QUASI-LINES

Cites Work

• Unnamed Item
• Estimations du nombre d'applications rationnelles d'une variété fixe aux variétés de type général. (Estimates of the number of rational mappings from a fixed variety to varieties of general type.)
• Dominating the varieties of general type.

This page was built for publication: Effective finiteness theorems for maps between canonically polarizedcompact complex manifolds