Explicit representation of membership in polynomial ideals |
| |
| Authors: | Mats Andersson Elin Götmark |
| |
| Institution: | 1.Department of Mathematical Sciences,Chalmers University of Technology and the University of Gothenburg,G?teborg,Sweden;2.Department of Mathematics and Mathematical Statistics,Ume? University,Ume?,Sweden |
| |
| Abstract: | We introduce a new division formula on projective space which provides explicit solutions to various polynomial division problems
with sharp degree estimates. We consider simple examples as the classical Macaulay theorem as well as a quite recent result
by Hickel, related to the effective Nullstellensatz. We also obtain a related result that generalizes Max Noether’s classical
AF + BG theorem. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
