Cylinders in canonical del Pezzo fibrations
Algebraic Geometry
2024-05-21 v2
Abstract
Cylinders in projective varieties play an important role in connection with unipotent group actions on certain affine algebraic varieties. The previous work due to Dubouloz and Kishimoto deals with the condition for a del Pezzo fibration to contain a vertical cylinder. In the present work, as a generalization in the sense of singularities, we shall determine the condition under which a del Pezzo fibration with canonical singularities admits a vertical cylinder by means of degree and type of singularities found on the corresponding generic fiber.
Keywords
Cite
@article{arxiv.2012.10062,
title = {Cylinders in canonical del Pezzo fibrations},
author = {Masatomo Sawahara},
journal= {arXiv preprint arXiv:2012.10062},
year = {2024}
}
Comments
44 pages; v2: Some typos and gaps are modified. To appear in Annales de l'Institut Fourier