Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On finiteness of log canonical models   Let $(X, \Delta)/U$ be klt pairs and $Q$ be a convex set of divisors.
Assuming that the relative Kodaira dimensions are non-negative, then there are
only finitely many log canonical models when the boundary divisors varying in a
relatively compact rational polytope in $Q$. As a consequence, we show the
existence of the log canonical model for a klt pair $(X, \Delta)/U$ with real
coefficients.

11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol