Weak approximation of symmetric products and norm varieties

Published 22 May 2023 in math.AG and math.NT | (2305.12648v2)

Abstract: Let k be a number field. For a variety X over k that satisfies weak approximation with Brauer-Manin obstruction, we study the same property for smooth projective models of its symmetric products. Based on the same method, we also explore the property of weak approximation with Brauer-Manin obstruction for norm varieties.

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