Explicit constructions of short virtual resolutions of truncations

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.

arXiv commentaccepted version with minor terminology change and typos corrected

References in corpus (6)

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