Standard models of degree $1$ del Pezzo fibrations

Abstract

We construct a standard birational model (a model that has Gorenstein canonical singularities) for the three-dimensional del Pezzo fibrations $\pi :X⟶C$ of degree $1$ and relative Picard number $1$. We also embed the standard model into the relative weighted projective space ${\mathbb{P}}_C(1,1,2,3)$. Our construction works in the $G$-equivariant category where $G$ is a finite group.

22 pages

References in corpus (1)

• Q-Fano threefolds of index $7$

Cited by in corpus (1)

• Finite groups of birational transformations