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Bibliographic Details
Main Author: Lyu, Zhentao
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.07293
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Table of Contents:
  • 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.