| Language |
English
|
| From |
2011/08/19 10:30
|
| To |
2011/08/19 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Embedded resolution of singularities of a surface in positive characteristic after Benito-Villamayor |
| Field |
Algebra
Geometry
|
| Speakers | Kenji Matsuki |
| Affiliation | Purdue University / RIMS) |
| Abstract | Resolution of singularities in characteristic zero can be
solved using the induction via the notion of a hypersurface of maximal
contact (h.m.c.). In positive characteristic, on the other hand,
the lack of a h.m.c. and hence the lack of a simple inductive scheme
on dimension have been the big obstacle. Recently some approaches have
appeared in search of a new inductive scheme.
We will discuss our approach, a joint work with Hiraku Kawanoue at RIMS.
We present an algorithm, which can be successfully carried out up to
dimension 3, following the recent method of Benito-Villamayor.
This provides a simpler and algorithmic proof to resolution of
singularities of a surface embedded in a smooth 3-dimensional space,
a classical theorem of Abhyankar and Hironaka. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |
|