A fibered power theorem for pairs of log general type
Journal article, 2016
Let f : (X, D) -> B be a stable family with log canonical general fiber. We prove that, after a birational modification of the base (B) over tilde -> B, there is a morphism from a high fibered power of the family to a pair of log general type. If in addition the general fiber is openly canonical, then there is a morphism from a high fibered power of the original family to a pair openly of log general type.
rational-points
stably integral points
elliptic-curves
Lang-Vojta
uniformity
varieties
log general type
moduli of stable pairs
Mathematics
Author
K. Ascher
Brown University
Amos Turchet
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Algebra and Number Theory
1937-0652 (ISSN)
Vol. 10 7 1581-1600Subject Categories (SSIF 2011)
Agricultural Biotechnology
DOI
10.2140/ant.2016.10.1581