发表机构
Centro de Estudos Matemáticos and Departamento de Matemática da Faculdade de Ciências da Universidade de Lisboa(里斯本大学科学学院数学系和数学研究中心)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
针对复曲线S与复流形X,构造相对正则全纯D_{X×S}-模的两类解析函子间的同构,推进了相关D-模理论的比较研究。
AI 中文摘要
设S为复曲线,X为复流形,对于投影X×S→S对应的相对正则全纯D_{X×S}-模ℳ,我们分别在(相对亚解析的)相对缓增全纯函数层与X×S上的全纯解层之间构造了解析函子的同构。
英文摘要
Let $S$ be a complex curve and let $X$ be a complex manifold. Given a relative regular holonomic $\DXS$-module $\shm$ with respect to the projection $X\times S\to S$, we construct an isomorphism between the solution functors respectively on the (relative subanalytic) sheaf of relative tempered holomorphic functions and the sheaf holomorphic solutions on $X\times S$.
CommentsThe title changed and the introduction improved with more precision and thanks to Luisa Fiorot