The symmetric power and etale realisation functors commute
Abstract/Contents
- Abstract
- We show that under mild hypotheses on a proper algebraic space X, the functors of taking its symmetric powers and its etale realisation commute up to weak equivalence. We conclude an effective version of the Dold-Thom theorem for the etale site and discuss the stabilisation results for the natural morphisms of etale homotopy groups π_k Sym^n X → π_k Sym^{n+1} X in the context of the Weil conjectures.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2016 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Tripathy, Arnav |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Vakil, Ravi |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Venkatesh, Akshay, 1981- |
| Thesis advisor | Yun, Zhiwei, 1982- |
| Advisor | Venkatesh, Akshay, 1981- |
| Advisor | Yun, Zhiwei, 1982- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Arnav Tripathy. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2016. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2016 by Arnav Tripathy
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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