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arXiv · 2401.07293

A Sheaf Cohomology Restriction Formula on Toric Complete Intersections

Zhentao Lyu
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Abstract

We prove a sheaf cohomology restriction (SCORE) formula for a class of vector bundles on complete intersections in toric varieties. The formula enables one to compute cohomology products on the complete intersection $X$ via computations on the ambient space $V$ and potentially compute certain quantum corrections to the classical sheaf cohomology ring. Schematically the formula reads $(s_1,...,s_r)_X = (s_1,...,s_r, g)_V$ with $g$ being an explicitly described quantity derived from the monad data of the bundle.

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BibTeXRIS

Zhentao Lyu. 2024-01-14. A Sheaf Cohomology Restriction Formula on Toric Complete Intersections. https://arxiv.org/abs/2401.07293

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