Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of flips and minimal models for 3-folds in char p   We will prove the following results for $3$-fold pairs $(X,B)$ over an
algebraically closed field $k$ of characteristic $p>5$: log flips exist for
$\Q$-factorial dlt pairs $(X,B)$; log minimal models exist for projective klt
pairs $(X,B)$ with pseudo-effective $K_X+B$; the log canonical ring $R(K_X+B)$
is finitely generated for projective klt pairs $(X,B)$ when $K_X+B$ is a big
$\Q$-divisor; semi-ampleness holds for a nef and big $\Q$-divisor $D$ if
$D-(K_X+B)$ is nef and big and $(X,B)$ is projective klt; $\Q$-factorial dlt
models exist for lc pairs $(X,B)$; terminal models exist for klt pairs $(X,B)$;
ACC holds for lc thresholds; etc.

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The categories of this paper are: cs
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci