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arXiv · 0803.3373

On monotonicity of F-blowup sequences

Takehiko Yasuda
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Abstract

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.

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Takehiko Yasuda. 2008-03-24. On monotonicity of F-blowup sequences. https://doi.org/10.1215/ijm/1264170841

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