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arXiv · 1902.00599

Hypersurface arrangements of aCM type

Edoardo Ballico·Sukmoon Huh
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Abstract

We investigate the arrangement of hypersurfaces on a nonsingular varieties whose associated logarithmic vector bundle is arithmetically Cohen-Macaulay (for short, aCM), and prove that the projective space is the only smooth complete intersection with Picard rank one that admits an aCM logarithmic vector bundle. We also obtain a number of results on aCM logarithmic vector bundles over several specific varieties. As an opposite situation we investigate the Torelli-type problem that the logarithmic cohomology determines the arrangement.

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Edoardo Ballico, Sukmoon Huh. 2019-02-02. Hypersurface arrangements of aCM type. https://arxiv.org/abs/1902.00599

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