|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Harder-Narasimhan stratification of the moduli stack of G-bundles via Drinfeld's compactifications | | Simon Schieder
; | | Date: |
31 Dec 2012 | | Abstract: | We use Drinfeld’s relative compactifications and the Tannakian viewpoint on
principal bundles to construct the Harder-Narasimhan stratification of the
moduli stack Bun_G of G-bundles on an algebraic curve in arbitrary
characteristic, generalizing the stratification for G=GL_n due to Harder and
Narasimhan to the case of an arbitrary reductive group G. To establish the
stratification on the set-theoretic level, we exploit a Tannakian
interpretation of the Bruhat decomposition and give a new and purely geometric
proof of the existence and uniqueness of the canonical reduction in arbitrary
characteristic. We furthermore provide a Tannakian interpretation of the
canonical reduction in characteristic 0 which allows to study its behavior in
families. The substack structures on the strata are defined directly in terms
of Drinfeld’s compactifications, which we generalize to the case where the
derived group of G is not necessarily simply connected. We furthermore use
Drinfeld’s compactifications to establish various properties of the
stratification, including finer information about the structure of the
individual strata and a simple description of the strata closures. | | Source: | arXiv, 1212.6814 | | 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