| Title | Combinatorial excess intersection |
| Author(s) | Jose Israel Rodriguez |
| Type | Article in Journal |
| Abstract | Abstract We provide formulas and develop algorithms for computing the excess numbers of an ideal. The solution for monomial ideals is given by the mixed volumes of polytopes. These results enable us to design numerical algebraic geometry homotopies to compute excess numbers of any ideal. |
| Keywords | Excess intersection, Newton polytopes, Combinatorics, Numerical algebraic geometry, Mixed volume |
| ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717114001023 |
| Language | English |
| Journal | Journal of Symbolic Computation |
| Volume | 68, Part 2 |
| Number | 0 |
| Pages | 297 - 307 |
| Year | 2015 |
| Note | Effective Methods in Algebraic Geometry |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
