Title: On Rational Points of Varieties over Local Fields having a Model with Tame Quotient Singularities
Authors: Hartmann, Annabelle # ×
Issue Date: 2013
Publisher: American Mathematical Society
Series Title: Transactions of the American Mathematical Society
Abstract: We study rational points on a smooth variety X over a complete local field K with algebraically closed residue field, and models of X with tame quotient singularities. If a model of X is the quotient of a Galois action on a weak Néron model of the base change of X to a tame Galois extension of K, then we construct a canonical weak Néron model of X with a map to this model, and examine its special fiber. As an application we get examples of singular models of X such that X has K-rational points specializing to a singular point of this model. Moreover we obtain formulas for the motivic Serre invariant and the rational volume, and the existence of K-rational points on certain K-varieties with potential good reduction.
ISSN: 0002-9947
Publication status: accepted
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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