A Uniform Construction of Smooth Integral Models and a Conjectural Recipe for Computing Local Densities
SCIE
SCOPUS
- Title
- A Uniform Construction of Smooth Integral Models and a Conjectural Recipe for Computing Local Densities
- Authors
- SUNGMUN, CHO
- Date Issued
- 2018-06
- Publisher
- OXFORD UNIV PRESS
- Abstract
- In this article, 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 conjectural 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/41097
- DOI
- 10.1093/imrn/rnw340
- ISSN
- 1073-7928
- Article Type
- Article
- Citation
- INTERNATIONAL MATHEMATICS RESEARCH NOTICES, vol. 12, no. 12, page. 3870 - 3907, 2018-06
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