On Monotonicity of F-blowup Sequences
نویسنده
چکیده
For each variety in positive characteristic, there is a series of canonically defined blowups, called F-blowups. We are interested in the question of whether the e+1-th blowup dominates the e-th, locally or globally. It is shown that the answer is affirmative (globally for any e) when the given variety is F-pure. As a corollary, we obtain some result on the stability of the sequence of F-blowups. We also give a sufficient condition for local domination.
منابع مشابه
The Monotonicity of the F-blowup Sequence of F-pure Singularities
Recently the author defined a sequence of blowups for each variety in positive characteristic, called F-blowups. Our purpose is to prove that the sequence is monotone if the variety has only F-pure singularities. As a corollary, we also obtain some result on the stability of the sequence.
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