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arXiv · 1409.1506

Birational Mori fiber structures of $\mathbb{Q}$-Fano $3$-fold weighted complete intersections, III

Takuzo Okada
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Abstract

This is a continuation of a series of papers studying the birational Mori fiber structures of anticanonically embedded $\mathbb{Q}$-Fano $3$-fold weighted complete intersections of codimension $2$. We have proved that $19$ families consists of birationally rigid varieties and $14$ families consists of birationally birigid varieties. The aim of this paper is to continue the work systematically and prove that, among the remaining $52$ families, $21$ families consist of birationally birigid varieties.

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Takuzo Okada. 2014-09-04. Birational Mori fiber structures of $\mathbb{Q}$-Fano $3$-fold weighted complete intersections, III. https://doi.org/10.1215/21562261-2019-0048

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