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arXiv · 1710.02482

Standard models of degree $1$ del Pezzo fibrations

Konstantin Loginov
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Abstract

We construct a standard birational model (a model that has Gorenstein canonical singularities) for the three-dimensional del Pezzo fibrations ${ π\colon X \longrightarrow C }$ 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.

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Konstantin Loginov. 2019-10-08. Standard models of degree $1$ del Pezzo fibrations. https://doi.org/10.17323/1609-4514-2018-18-4-721-737

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