Algebraic Computation of Some Intersection D-Modules

DOI10.1007/11832225_12zbMATH Open1230.14029arXivmath/0604287OpenAlexW1571387404MaRDI QIDQ5747805

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Publication date: 14 September 2010

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Abstract: Let $X$ be a complex analytic manifold, $DsubsetX$ a locally quasi-homogeneous free divisor, $E$ an integrable logarithmic connection with respect to $D$ and $L$ the local system of the horizontal sections of $E$ on $X-D$. In this paper we give an algebraic description in terms of $E$ of the regular holonomic D-module whose de Rham complex is the intersection complex associated with $L$. As an application, we perform some effective computations in the case of quasi-homogeneous plane curves.

Full work available at URL: https://arxiv.org/abs/math/0604287

Mathematics Subject Classification ID

Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Computational aspects in algebraic geometry (14Q99)

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• D-modules

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