Article
The analytic standard fan of a D-module
Author/s | Assi, Abdallah
Castro Jiménez, Francisco Jesús Granger, Michel |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2001-10-24 |
Deposit Date | 2016-11-10 |
Published in |
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Abstract | We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ... We extend to the analytic D-module case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic coefficients, a combinatorial object which we call the standard fan of this D-module (see chapter 6 for a precise geometric description of this object). The main tool of the proof is the homogenization techniques and a convergent division theorem that we prove in the homogenization ring D[t]. |
Project ID. | HF-1998-0105 |
Citation | Assi, A., Castro Jiménez, F.J. y Granger, M. (2001). The analytic standard fan of a D-module. Journal of Pure and Applied Algebra, 164 (1-2), 3-21. |
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