2005/05/23 by F. J. Castro-Jimenez, Castro-Jimenez, F. J., M. Granger +1
Mathematics · #13P99 #14Q99 #32C38 (Primary) 13C11 #68W30 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:13C11 #msc:13P99 #msc:14Q99 #msc:32C38 #msc:68W30
paper · pdf · doi:10.48550/arxiv.math/0505465
14 pages
arxiv created 2005/05/23 · arxiv updated 2009/12/01
Let M be a coherent module over the ring D of linear differential operators on an analytic manifold X and let us consider k germs of transverse hypersurfaces at a point x in X. The Malgrange-Kashiwara V-filtrations along these hypersurfaces, associated with a given presentation of the germ of M at the point x, give rise to a multifiltration U(M) of Mx introduced by Sabbah and to an analytic standard fan as developed by Assi-Castro-Granger. We prove here that this standard fan is adapted to the multifiltration, in the sense of C. Sabbah. This result completes the proof of the existence of an adapted fan in [9], for which the use of [8] is not possible (see References).