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arXiv · 2508.11306

Constructing and transforming standard resolutions of local modules

Xingbang Hao
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Abstract

We construct standard resolutions for analytic local modules on complex hypersurfaces using standard basis methods, with extensions to complete intersections. The algebraic version over arbitrary infinite fields is also suggested. Applications include derived category formula of local hypersurface blow-ups, revealing new connections between standard bases and categorical geometry.

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Xingbang Hao. 2025-08-15. Constructing and transforming standard resolutions of local modules. https://arxiv.org/abs/2508.11306

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