Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds of the slope of fibred threefolds   We study from a geographical point of view fibrations of threefolds over
smooth curves, such that the general fibre is of general type. We prove the
non-negativity of certain relative invariants under general hypotheses and give
lower bounds for the self-interssection of the relative canonical divisor of
the fibration, depending on other relative invariants. We also study the
influence of the relative irregularity on these bounds. A more detailed study
of the lowest cases of the bounds is given.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg