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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.09653 |
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Table of Contents:
- Beilinson gave a resolution of the diagonal for complex projective spaces, which Bayer-Popescu-Sturmfels generalized to what they refer to as unimodular projective toric varieties. The unimodular condition in Bayer-Popescu-Sturmfels' convention is more restrictive than being smooth. In the smooth, non-unimodular setting, extra vertices appear in the finite cellular complex which Bayer-Popescu-Sturmfels previously used to resolve the diagonal for unimodular projective toric varieties. We use the floor function to assign monomial labelings in a convex manner, and show that this assignment is compatible with the graded algebra involving the irrelevant ideal to give a resolution of the diagonal for a smooth projective toric variety.