On monotonicity of F-blowup sequences

Details On monotonicity of F-blowup sequences On monotonicity of F-blowup sequences

2008-03-24

arxiv.org/abs/0803.3373v3

Mathematics

Algebraic Geometry

10 pages, v.2: major revision. the title modified. the proof of the main result simplified. a key argument in v.1 is now state

Scientific paper

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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