Mathematics
5 years ago

Newly Discovered Patterns in K3 Surfaces Could Unlock Secrets of the Universe

arXiv (Cornell University)
Classification of order sixteen non-symplectic automorphisms on K3 surfaces
Dima Al Tabbaa, A. Sarti, Shingo Taki

Paper Summary

Related papers

Theme background image
Computer Science
2 years ago

New Theorem Reveals Complexity of Free Group Automorphisms, Impacting Laminations

Automata Theory
Symplectic Topology
Program Verification
Theme background image
Mathematics
5 years ago

Special automorphisms unlock infinite transitivity, revolutionizing quasiaffine variety dynamics.

Algebraic Geometry
Planar Bifurcations
Symplectic Topology
Theme background image
Mathematics
7 years ago

Symplectic actions on K3 surfaces in positive characteristic reveal new properties

Langlands Conjectures
Algebraic Geometry
Finite Groups

Researchers have classified K3 surfaces with non-symplectic automorphisms of order 16. They found that the fixed locus only contains rational curves and points, and identified seven possible configurations. If the Néron-Severi group has rank 6, there are two possibilities, and if its rank is 14, there are five possibilities. If the automorphism's action is trivial on the Néron-Severi group, its rank is six.