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Geometry and arithmetic of regular del Pezzo surfaces by Bernasconi, Fabio; Tanaka, Hiromu is a scholarly article available to read on EtoBox.

What is Geometry and arithmetic of regular del Pezzo surfaces about?

We classify geometrically integral regular del Pezzo surfaces which are not geometrically normal over imperfect fields of positive characteristic. Based on this classification, we show that a three-dimensional terminal del Pezzo fibration onto a curve over an algebraically closed field always admits a section. Moreover, we prove that the total space is rational if the base curve is rational and the anticanonical degree of a fibre is at least five.

Author

Bernasconi, Fabio; Tanaka, Hiromu

Published

2024

Language

EN