Birational properties of pencils of del Pezzo surfaces of degree 1 and 2

Abstract

We study the birational rigidity problem for smooth Mori fibrations on del Pezzo surfaces of degree 1 and 2. For degree 1 we obtain a complete description of rigid and non-rigid cases.

AmsLatex, 22 pages

References in corpus (2)

• Essentials of the method of maximal singularities
• Birational rigidity of a three-dimensional double cone

Cited by in corpus (8)

• Birationally rigid iterated Fano double covers
• Birationally rigid Fano fibre spaces. II
• Birationally rigid varieties with a pencil of Fano double covers. III
• Birational geometry of del Pezzo fibrations with terminal quotient singularities
• On non-rigid del Pezzo fibrations of low degree
• Birationally rigid varieties with a pencil of Fano double covers. II
• On pliability of del Pezzo fibrations and Cox rings
• On birational rigidity of singular del Pezzo fibrations of degree 1