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math.NT2010★ 12 cited
Failure of the Hasse principle for Enriques surfaces
Anthony Várilly-Alvarado, Bianca Viray
We construct an Enriques surface X over Q with empty étale-Brauer set (and hence no rational points) for which there is no algebraic Brauer-Manin obstruction to the Hasse principle…
math.NT2010
Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory
Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter +3
Bruinier and Yang conjectured a formula for an intersection number on the arithmetic Hilbert modular surface, CM(K).T_m, where CM(K) is the zero-cycle of points corresponding to ab…