|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Tempered fundamental group and metric graph of a Mumford curve | | Emmanuel Lepage
; | | Date: |
19 Nov 2008 | | Abstract: | This paper is an attempt to give some general results on the tempered
fundamental group of a $p$-adic smooth algebraic varieties (which is a sort of
analog of the topologic fundamental group of complex algebraic varieties in the
p-adic world). The main result asserts that one can recover the metric
structure of the graph of the stable model of a Mumford curve from the tempered
fundamental group of this Mumford curve. We will also prove birational
invariance, invariance by algebraically closed extensions and a Kuenneth
formula for the tempered fundamental group. We will describe the tempered
fundamental group of an abelian variety and link the tempered fundamental group
of a curve to the tempered fundamental group of its Jacobian variety. | | Source: | arXiv, 0811.3169 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER