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

Abstract

In this paper we study 14 families among 85 families of anticanonically embedded Q-Fano threefolds weighted complete intersections of codimension 2 and show that every quasismooth member is birationally birigid, that is, it is birational to another Q-Fano threefold but not birational to any other Mori fiber space.

53 pages. To appear in J. Reine Angew. Math

References in corpus (2)

• Birationally rigid Fano threefold hypersurfaces
• On non-rigid del Pezzo fibrations of low degree

Cited by in corpus (9)

• Birational Mori fiber structures of $\mathbb{Q}$-Fano $3$-fold weighted complete intersections, III
• Birational geometry of del Pezzo fibrations with terminal quotient singularities
• Birationally rigid complete intersections of high codimension
• Birationally superrigid Fano 3-folds of codimension 4
• $2n^2$-inequality for $c{A}_1$ points and applications to birational rigidity
• Alpha invariants of birationally rigid Fano threefolds
• K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces
• $\mathbb{Q}$-Fano threefolds with three birational Mori fiber structures
• Alpha invariants of birationally bi-rigid Fano 3-folds I