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arXiv · 2411.00379

Smooth Fano varieties with pseudoindex equal to half of their dimension

Kiwamu Watanabe
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Abstract

Let $X$ be a complex smooth Fano variety of dimension $n$. Assume that $X$ admits a birational contraction of an extremal ray. In this paper, we give a classification of such $X$ when the pseudoindex is equal to $\frac{\dim X}{2}$.

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Kiwamu Watanabe. 2024-11-01. Smooth Fano varieties with pseudoindex equal to half of their dimension. https://arxiv.org/abs/2411.00379

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