Tamagawa numbers of smooth connected groups
Abstract/Contents
- Abstract
- In this thesis, I define and investigate some questions about Tamagawa measures and Tamagawa numbers of smooth connected group schemes over global fields beyond the traditional affine and projective cases. In particular, over number fields, for every (smooth) connected group scheme I construct certain extensions by a split torus and prove a formula for the Tamagawa number of such extensions when either the initial group scheme is commutative or the map from each pure inner twist to the maximal abelian variety quotient is surjective on local points at each real place.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Tam, Ka Yu |
|---|---|
| Degree supervisor | Conrad, Brian, 1970- |
| Thesis advisor | Conrad, Brian, 1970- |
| Thesis advisor | Bump, Daniel, 1952- |
| Thesis advisor | Vakil, Ravi |
| Degree committee member | Bump, Daniel, 1952- |
| Degree committee member | Vakil, Ravi |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Ka Yu Tam. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/bg204kc1831 |
Access conditions
- Copyright
- © 2021 by Ka Yu Tam
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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