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arXiv · 2609.01850

A comparison theorem for relative regular holonomic D-modules

Teresa Monteiro Fernandes
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Abstract

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 $X\times S$.

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Teresa Monteiro Fernandes. 2026-09-01. A comparison theorem for relative regular holonomic D-modules. https://arxiv.org/abs/2609.01850

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