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ℚ-Fano threefolds with three birational Mori fiber structures

2014/05/10 by Okada, Takuzo · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1405.2415

Abstract

In this paper we give first examples of ℚ-Fano threefolds whose birational Mori fiber structures consist of exactly three ℚ-Fano threefolds. These examples are constructed as weighted hypersurfaces in a specific weighted projective space. We also observe that the number of birational Mori fiber structures does not behave upper semi-continuously in a family of ℚ-Fano threefolds.

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