滤子D-模的平坦性
A flatness property for filtered D-modules
摘要：
设M是解析流形X上线性微分算子环D上的凝聚模，并考虑X中点x处横向超曲面的k个芽。沿着这些超曲面的Malgrange-Kashiwara V-滤子，与M在点x上的芽的给定表示相关联，产生由Sabbah引入的M_x的多重滤子U（M）和由Assi-Castro-Granger发展的解析标准扇。本文证明了这种标准风扇适用于C.萨巴这一结果完成了在[9]中存在自适应风扇的证明，对于这种风扇，[8]的使用是不可能的（参见参考文献）。
英文摘要：
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 M_x 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).
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