Weak Approximation for General Degree Two del Pezzo Surfaces

Details Weak Approximation for General Degree Two del Pezzo Surfaces Weak Approximation for General Degree Two del Pezzo Surfaces

2008-09-08

arxiv.org/abs/0809.1251v1

Mathematics

Algebraic Geometry

Scientific paper

We address weak approximation for certain del Pezzo surfaces defined over the
function field of a curve. We study the rational connectivity of the smooth
locus of degree two del Pezzo surfaces with two A1 singularities in order to
prove weak approximation for degree two del Pezzo surfaces with square-free
discriminant.

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