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

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

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→Z is a finite quotient of a sphere, provided that either the Picard number of Y or the dimension of Z is ≤2. This is a partial answer to Question 4 in [12].

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2020-04, Vol.364, p.107009, Article 107009
1. Verfasser: Mauri, Mirko
Format: Artikel
Sprache:eng
Schlagworte:
Dual complex
Log Calabi-Yau
Mori fibre space
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Zusammenfassung: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→Z is a finite quotient of a sphere, provided that either the Picard number of Y or the dimension of Z is ≤2. This is a partial answer to Question 4 in [12].
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2020.107009