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arXiv · 1412.6218

A uniform construction of smooth integral models and a recipe for computing local densities

Sungmun Cho
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Abstract

In this paper, we explain a simple and uniform construction of a smooth integral model associated to a quadratic, (anti)-hermitian, and (anti)-quaternionic hermitian lattice defined over an arbitrary local field. As one major application, we explain a recipe for computing local densities case by case, which is an essential factor in the classification of forms as above over the ring of integers of a number field, by introducing one conjecture about the number of rational points of the special fiber of a smooth integral model.

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Sungmun Cho. 2014-12-19. A uniform construction of smooth integral models and a recipe for computing local densities. https://doi.org/10.1093/imrn%2Frnw340

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