Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slope inequalities for KSB-stable and K-stable families   We prove some higher dimensional generalizations of the slope inequality
originally due to G. Xiao, and to M. Cornalba and J. Harris. We give
applications to families of KSB-stable and K-stable pairs, as well as to the
study of the ample cone of the moduli space of KSB-stable varieties. Our proofs
relies on the study of the Harder-Narasimhan filtration, and some
generalizations of Castelnuovo's and Noether's inequalities.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph