Arithmetic of rationaly connected quintic 3-folds over finite and function fields

Details Arithmetic of rationaly connected quintic 3-folds over finite and function fields Arithmetic of rationaly connected quintic 3-folds over finite and function fields

2007-10-23

arxiv.org/abs/0710.4219v1

Mathematics

Number Theory

13 pages, no figure

Scientific paper

We prove that both classical Chevalley-Warning-Ax and Tsen theorems hold for
the blowing up of a quintic 3-fold along a line of multiplicity 3. Both proofs,
which are of the same spirit than the original ones, involve the description of
this blowing-up as a subvariety of a toric variety.

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