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.

Meta Tags

Algebraic Geometry, Lie Algebra, Weyl group

Files

Citation

Lingfeng Wu, “The automorphism of the 27 lines on the cubic surface,” URSS SHOWCASE, accessed November 23, 2024, https://urss.warwick.ac.uk/items/show/562.