The automorphism of the 27 lines on the cubic surface
Title
The automorphism of the 27 lines on the cubic surface
Subject
Mathematics
Creator
Lingfeng Wu
Date
2024
Contributor
Professor Miles Reid
Abstract
The poster gives an introduction to the configuration of the 27 lines on the cubic surface. We then calculate the automorphisms of the lines under the configuration and it turns out that the automorphism group is precisely the Weyl group of the Lie algebra of type E6.
Files
Collection
Citation
Lingfeng Wu, “The automorphism of the 27 lines on the cubic surface,” URSS SHOWCASE, accessed November 4, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/562.