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Mathematics  2008 

Weak Approximation for General Degree Two del Pezzo Surfaces

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Abstract:

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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