|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
A refinement of the Kushnirenko-Bernshtein estimate | | Patrice Philippon
; Martin Sombra
; | | Date: |
20 Sep 2007 | | Abstract: | A theorem of Kushnirenko and Bernshstein shows that the number of isolated
roots of a system of polynomials in a torus is bounded above by the mixed
volume of the Newton polytopes of the given polynomials, and this upper bound
is generically exact. We improve on this result by introducing refined
combinatorial invariants of polynomials and a generalization of the mixed
volume of convex bodies: the mixed integral of concave functions. | | Source: | arXiv, 0709.3306 | | 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