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arXiv · 2402.10136

Birational complexity and dual complexes

Mirko Mauri·Joaquín Moraga
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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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Mirko Mauri, Joaquín Moraga. 2024-02-15. Birational complexity and dual complexes. https://arxiv.org/abs/2402.10136

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