Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On monotonicity of F-blowup sequences   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.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex