Automorphisms of P₈ singularities and the complex crystallographic groups

الأصل · EN

The paper completes the study of symmetries of parabolic function singularities with relation to complex crystallographic groups that was started in GM,X9. We classify smoothable automorphisms of P₈ singularities which split the kernel of the intersection form on the second homology. For such automorphisms, the monodromy groups acting on the duals to the eigenspaces with degenerate intersection form are then identified as some of complex affine reflection groups tabled in P.