In this paper we give a criterion for birational rigidity of del Pezzo fibrations of degree 1 and 2 with only quotient singularities. As an application, we prove birational rigidity of suitable del Pezzo fibrations admitting an action of the Klein simple group.
Bounds for log canonical thresholds with applications to birational rigidity
On a theorem of Castelnuovo and applications to moduli
Boundedness of the images of period maps and applications
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