Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monodromie d'une famille d'hypersurfaces   I describe the monodromy of smooth hypersurfaces $X$ of high degree in a
fixed smooth variety $Y$ containing a fixed subvariety $W$ of $Y$. The
cohomology of $X$ in middle degree spanned by the pull-back of the cohomology
of $Y$ and by the classes of the irreducible components of $W$ is monodromy
invariant. I show that the monodromy representation on the orthogonal of those
classes is irreducible. The proof is essentially topological. Difficulties
arise from the fact that $W$ may have arbitrary singularities.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: eess