6 citations · 8 across the 11 of their papers we have counts for
11 papers
New Ideas for Resolution of Singularities in Arbitrary Characteristic
Tohsuke Urabe
Let be \emph{any} algebraically closed field in any characteristic, let be any regular local ring such that contains as a subring, the residue field of is isomo…
New Ideas for Resolution of Singularities in Arbitrary Characteristics
Tohsuke Urabe
The concept of the maximal contact is the key in Hironaka's resolution theory. It treats local theory, and it is not effective in positive characteristics. This is the essential re…
New Ideas for Resolution of Singularities in Arbitrary Characteristic
Tohsuke Urabe
This is the manuscript for Proceedings of International Conference and Workshop on Valuation Theory held at University of Saskachewan, Canada in 1999. I have succeeded in showing t…
Hypersurface Singularities which cannot be resolved in Characteristic Positive
Tohsuke Urabe
Assume that there exists a hypersurface singularity which cannot be resolved by iterated monoidal transformations in positive characteristic. We show that in the set of defining fu…
Resolution of Singularities of Germs in Characteristic Positive Associated with Valuation Rings of Iterated Divisor Type
Tohsuke Urabe
In this paper we show that any hypersurface singularities of germs of varieties in positive characteristic can be resolved by iterated monoidal transformations in centers in smooth…
Some fundamental problems on real-analytic sets
Tohsuke Urabe
The category of real-analytic sets and real-analytic maps is the most important category in application. However, in spite of efforts by F. Bruhat, H. Cartan, H. Whitney et al., th…