We give a simplified algorithm of the functorial weak factorization of birational morphisms of nonsingular varieties over a field of characteristic zero into a composite of blow-ups and blow-downs with smooth centers.
Strong resolution of singularities in characteristic zero
The universal Euler characteristic for varieties of characteristic zero
Rationality of the quotient of $\mathbb{P}^2$ by finite group of automorphisms over arbitrary field of characteristic zero
![QR code for arXiv:math/0601649 [math.AG]](http://oss.arxitics.com/images/favicon.svg)