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A fibered power theorem for pairs of log general type

Ascher, K. (author)
Brown University
Turchet, Amos, 1984 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
 (creator_code:org_t)
2016-09-27
2016
English.
In: Algebra & Number Theory. - : Mathematical Sciences Publishers. - 1937-0652 .- 1944-7833. ; 10:7, s. 1581-1600
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

LANTBRUKSVETENSKAPER  -- Bioteknologi med applikationer på växter och djur (hsv//swe)
AGRICULTURAL SCIENCES  -- Agricultural Biotechnology (hsv//eng)

Keyword

log general type
moduli of stable pairs
Lang-Vojta
stably integral points
rational-points
elliptic-curves
uniformity
varieties
Mathematics
rational-points

Publication and Content Type

ref (subject category)
art (subject category)

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Ascher, K.
Turchet, Amos, 1 ...
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Algebra & Number ...
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University of Gothenburg
Chalmers University of Technology

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