Seminars: Gert-Martin Greuel, Right simple singularities in positive characteristic

SEMINARS


Homological Methods in Algebraic Geometry March 30, 2012 14:00, Moscow, Steklov Mathematical Institute, Room 540 (8 Gubkina)

Right simple singularities in positive characteristic Gert-Martin Greuel^ab ^a Technical University of Kaiserslautern ^b Mathematical Research Institute Oberwolfach
Abstract: We classify isolated hypersurface singularites over an algebraically closed field of characteristic $p>0$ w.r.t. right equivalence. The corresponding classification over the real and complex numbers was achieved by V. I. Arnold in his pioneering work in the mid sixties. A surprising fact is that for every fixed $p>0$ there are only finitely many classes of the so called simple singularities. In particular, only finitely many of the ADE singularities have finite deformation type. This stands in strict contrast to Arnold's result in characteristic 0 where the simple singularities are exactly the ADE singularities. Language: English