Mathematics – Algebraic Geometry
Scientific paper
2012-01-20
Mathematics
Algebraic Geometry
7 pages
Scientific paper
We prove that in a family of projective threefolds defined over an algebraically closed field, the locus of rational fibers is a countable union of closed subsets of the locus of separably rationally connected fibers. When the ground field has characteristic zero, this implies that the locus of rational fibers in a smooth family of projective threefolds is the union of at most countably many closed subfamilies.
Fernex Tommaso de
Fusi Davide
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