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arXiv · 0710.4219

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

Marc Perret
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Abstract

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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Marc Perret. 2007-10-23. Arithmetic of rationaly connected quintic 3-folds over finite and function fields. https://arxiv.org/abs/0710.4219

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