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arXiv · 1808.03706

The dual complex of log Calabi-Yau pairs on Mori fibre spaces

Mirko Mauri
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Abstract

In this paper we show that the dual complex of a dlt log Calabi-Yau pair $(Y, Δ)$ on a Mori fibre space $π: Y \to Z$ is a finite quotient of a sphere, provided that either the Picard number of $Y$ or the dimension of $Z$ is $\leq 2$. This is a partial answer to Question 4 in "The dual complex of Calabi-Yau pairs" by Kollár and Xu.

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Mirko Mauri. 2020-04-22. The dual complex of log Calabi-Yau pairs on Mori fibre spaces. https://arxiv.org/abs/1808.03706

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