Some examples of Calabi-Yau pairs with maximal intersection and no toric model

2018/12/29 by Kaloghiros, Anne-Sophie
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.11296

Abstract

It is known that a maximal intersection log canonical Calabi-Yau surface pair is crepant birational to a toric pair. This does not hold in higher dimension: this paper presents some examples of maximal intersection Calabi-Yau pairs that admit no toric model.

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