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what is the computational complexity of resolution of singularities of varieties over fields with characteristics 0?

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You can look at the paper by Bierstone, Grigoriev, Milman and Włodarczyk "Effective Hironaka resolution and its complexity" in Asian J. Math. 15 (2011), no. 2, 193–228. –  ulrich Apr 10 '13 at 3:56
    
@Ulrich,Thank you a lot –  XL _at_China Apr 10 '13 at 5:19
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