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

Source abstract

This is a continuation of a series of articles 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 consist of birationally rigid varieties and 14 families consist of birationally birigid varieties. Our aim here is to continue the work systematically and prove that, among the remaining 52 families, 21 families consist of birationally birigid varieties.