TY - JOUR
T1 - On monotonicity of F-blowup sequences
AU - Yasuda, Takehiko
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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U2 - 10.1215/ijm/1264170841
DO - 10.1215/ijm/1264170841
M3 - Article
AN - SCOPUS:77956588491
VL - 53
SP - 101
EP - 110
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
SN - 0019-2082
IS - 1
ER -