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arXiv · 2506.20280

The Gauss-Manin system of an ICIS

Guillem Blanco
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Abstract

For an isolated complete intersection singularity (ICIS), we define and study its Gauss-Manin system and its associated Hodge filtration. We show the relation between the Hodge filtration and a generalized Brieskorn lattice and study conditions for the existence of a microlocal structure. Using these ideas, we relate the residue on the saturated Brieskorn lattice with a $b$-function introduced by Torrelli.

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Guillem Blanco. 2025-06-25. The Gauss-Manin system of an ICIS. https://arxiv.org/abs/2506.20280

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