Resolution of singularities of germs in characteristic positive associated with valuation rings of iterated divisor type
by
Tohsuke Urabe
Ibaraki University

I explain that any hypersurface singularities of germs of varieties in positive characteristic can be resolved by iterated monoidal transformations with centers in smooth subvarieties, if we have a valuation ring of iterated divisor type associated with the germ. Recently very clear exposition was given in Appendix of Abhyankar's new book for resolution of hypersurface singularities in characteristic zero. I have noticed that most of Abhyankar's ideas are effective even in characteristic positive. I supply the missing part to his ideas, and develop the theory of positive characteristic.

Tohsuke Urabe Mathematics Laboratory

Date received: May 1, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacv-45.