A high fibered power of a family of varieties of general type dominates a variety of general type

DOI10.1007/s002220050149zbMath0899.14015arXivalg-geom/9604024OpenAlexW2007927865MaRDI QIDQ1358252

Dan Abramovich

Publication date: 3 July 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9604024

zbMATH Keywords

Kodaira dimensionsemistable reductionpositivity resultsfamilies of varieties of general typegeneral fibers

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension, On the Bombieri-Lang conjecture over finitely generated fields, On the Brody hyperbolicity of moduli spaces for canonically polarized manifolds., The Lang–Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties, Hyperbolicity of Varieties of Log General Type

Cites Work

• Toroidal embeddings. I
• Théoremes de Bertini et applications
• A finiteness property of varieties of general type
• Singularités rationnelles et déformations
• Smoothness, semi-stability and alterations
• Uniformity of stably integral points on elliptic curves
• Uniform boundedness for rational points
• Lang's Conjectures, Fibered Powers, and Uniformity
• Stacks of stable maps and Gromov-Witten invariants
• Correlation for surfaces of general type
• Applications rationnelles séparables dominantes sur une variété de type général
• Hyperbolic and Diophantine analysis
• Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs.
• Notes on stable maps and quantum cohomology
• Uniformity of rational points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item