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 eth, locally or globally. It is shown that the answer is affirmative (globally for any e) when the given variety is Fpure. 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.
Original language | English |
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Pages (from-to) | 101-110 |
Number of pages | 10 |
Journal | Illinois Journal of Mathematics |
Volume | 53 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)