Mathematics – Number Theory
Scientific paper
1999-01-09
Mathematics
Number Theory
15 pages, Latex 2e
Scientific paper
We show that there exist non-trivial families of algebraic varieties for
which all the fibers above rational points (or even above points of odd degree)
are torsors of abelian varieties representing nonzero elements of their
Shafarevich-Tate groups.
Colliot-Th'el`ene Jean-Louis
Poonen Bjorn
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