Birational complexity and dual complexes

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Abstract

We introduce the notion of birational complexity of a log Calabi-Yau pair. This invariant measures how far the log Calabi-Yau pair is to being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.

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Mauri et al. (Thu,) studied this question.

synapsesocial.com/papers/68e79181b6db643587702e25 https://doi.org/https://doi.org/10.48550/arxiv.2402.10136

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