Explicit constructions of short virtual resolutions of truncations
Algebraic Geometry
2025-09-09 v2 Commutative Algebra
Abstract
We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition to exhibit nontrivial homology in the commutative algebraic analogue of their construction.
Keywords
Cite
@article{arxiv.2501.06960,
title = {Explicit constructions of short virtual resolutions of truncations},
author = {Lauren Cranton Heller},
journal= {arXiv preprint arXiv:2501.06960},
year = {2025}
}
Comments
accepted version with minor terminology change and typos corrected