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8 votes
1 answer
273 views

Is there a "minimal" Whitney stratification of a complex hypersurface?

Let $X\subset \mathbb C^n$ be a complex hypersurface (given by $F=0$ where $F$ is a polynomial). It is known then that $X$ admits a Whitney stratification. This is a decomposition of $X$ into smooth ...
aglearner's user avatar
  • 14.3k
93 votes
0 answers
17k views

Hironaka's proof of resolution of singularities in positive characteristics

Recent publication of Hironaka seems to provoke extended discussions, like Atiyah's proof of almost complex structure of $S^6$ earlier... Unlike Atiyah's paper, Hironaka's paper does not have a ...
Henry.L's user avatar
  • 8,071
6 votes
0 answers
234 views

Resolution graph of higher dimensional ADE singularities

I am looking for different configurations of the exceptional divisors arising from blowing up a higher dimensional ADE singularity (see p. 240 of this article of Bruns for a description of such ...
user43198's user avatar
  • 1,981
2 votes
0 answers
149 views

Reference for certain resolution of singularities formulation

I want to use the following resolution of singularity statment as found in Soule et al, Lectures on Arakelov Geometry, p. 40: $Y$ is a separated algebraic variety of finite type over $\mathbb{C}$, $Z$...
BnPrs's user avatar
  • 195