On monotonicity of F-blowup sequences

Yasuda, Takehiko

Illinois J. Math., Tome 53 (2009) no. 1, p. 101-110 / Harvested from Project Euclid

Résumé

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 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.

Publié le : 2009-05-15
Classification: 14B05, 14E05, 13A35

@article{1264170841,
     author = {Yasuda, Takehiko},
     title = {On monotonicity of F-blowup sequences},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 101-110},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264170841}
}

Yasuda, Takehiko. On monotonicity of F-blowup sequences. Illinois J. Math., Tome 53 (2009) no. 1, pp.  101-110. http://gdmltest.u-ga.fr/item/1264170841/