Details:
| Title | Localization at hyperplane arrangements: combinatorics and D-modules | | Author(s) | Jose Alvarez-Montaner, Francisco Jesus Castro-Jimenez, Jose Maria Ucha-Enriquez | | Type | Article in Journal | | Abstract | We describe an algorithm for deciding whether the annihilating ideal of the meromorphic function $\frac{1}{f}$, where $f=0$ defines an arrangement of hyperplanes, is generated by linear differential operators of order 1. The algorithm is based on a comparison of two characteristic cycles and uses a combinatorial description of the characteristic cycle of the $\scr D$-module of meromorphic functions with respect to $f$, due to J. Alvarez Montaner, R. Garcia Lopez and S. Zarzuela Armengou. We use Groebner bases in D-module theory to describe the characteristic cycle of a logarithmic D-module. | | ISSN | 0021-8693 |
| Language | English | | Journal | J. Algebra | | Volume | 316 | | Number | 2 | | Pages | 662--679 | | Year | 2007 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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