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Birational Mori fiber structures of Q -Fano 3-fold weighted complete intersections, III

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This is a continuation of a series of papers studying the birational Mori fiber structures of anticanonically embedded Q-Fano 3-fold weighted complete intersections of codimension 2. We have proved that… Click to show full abstract

This is a continuation of a series of papers studying the birational Mori fiber structures of anticanonically embedded 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.

Keywords: birational mori; fold weighted; fano fold; mori fiber; fiber structures; weighted complete

Journal Title: Kyoto Journal of Mathematics
Year Published: 2020

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