| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article overview
| |
|
Choking horns in Lipschitz Geometry of Complex Algebraic Varieties | Lev Birbrair
; Alexandre Fernandes
; Vincent Grandjean
; Donal O'Shea
; | Date: |
14 Jun 2012 | Abstract: | We study the Lipschitz Geometry of Complex Algebraic Singularities. For this
purpose we introduce the notion of choking horns. A Choking horn is a family of
cycles on the family of the sections of an algebraic variety by very small
spheres centered at a singular point, such that the cycles cannot be boundaries
of nearby chains. The presence of choking horns is an obstruction to metric
conicalness as we can see with some classical isolated hypersurfaces
singularities which we prove are not metrically conic. We also show that there
exist infinitely countably many singular varieties, which are locally
homeomorphic, but not locally bi-Lipschitz equivalent with respect to the inner
metric. | Source: | arXiv, 1206.3105 | 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:
| |