The arithmetic of certain del Pezzo surfaces and K3 surfaces
Dong Quan Ngoc Nguyen (2012)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We construct del Pezzo surfaces of degree violating the Hasse principle explained by the Brauer-Manin obstruction. Using these del Pezzo surfaces, we show that there are algebraic families of surfaces violating the Hasse principle explained by the Brauer-Manin obstruction. Various examples are given.