The arithmetic of certain del Pezzo surfaces and K3 surfaces
نویسندگان
چکیده
We construct del Pezzo surfaces of degree 4 violating the Hasse principle explained by the Brauer-Manin obstruction. Using these del Pezzo surfaces, we show that there are algebraic families of K3 surfaces violating the Hasse principle explained by the Brauer-Manin obstruction. Various examples are given.
منابع مشابه
On the Arithmetic of Del Pezzo Surfaces of Degree
— We study the arithmetic of certain Del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2and 4-torsion elements in the Brauer group.
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