Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Le th\`eme d'une p\'eriode \'evanescente   In this article we study holomorphic deformations of the filtered Gauss-Manin
systems associated to a vanishing period integral. For that purpose we
introduce a new sub-class of the class of monogenic (a,b)-modules (Brieskorn
modules) which was studied in our previous article [B. 09]. We show that these
new objects, called ?themes?, have good functorial properties and that there
exists a canonical order on the roots of the corresponding Bernstein
polynomial. We construct, for given fundamental invariants, a finite
dimensional versal holomorphic family and we show that, when all themes with
these fundamental invariants are ?stable?, this versal family is in fact
universal. We also give a sufficient condition on the roots of the Bernstein
polynomial in order that the previous condition is satisfied. We show with an
example that a universal family may not exist for some values of the
fundamental invariants.

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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat