Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real Seifert forms and polarizing forms of Steenbrink mixed Hodge
  structures   An isolated hypersurface singularity comes equipped with many different
pairings on different spaces, the intersection form and the Seifert form on the
Milnor lattice, a polarizing form for a mixed Hodge structure on a dual space,
and a flat pairing on the cohomology bundle. This paper describes them and
their relations systematically in an abstract setting. We expect applications
also in other areas than singularity theory. A good part of the paper is
elementary, but not well known: the classification of irreducible Seifert form
pairs, the polarizing form on the generalized eigenspace with eigenvalue 1, an
automorphism from a Fourier-Laplace transformation which involves the Gamma
function and which relates Seifert form and polarizing form and a flat pairing
on the cohomology bundle. New is a correction of a Thom-Sebastiani formula for
Steenbrink's Hodge filtration in the case of singularities. It uses the
Fourier-Laplace transformation. A special case is a square root of a Tate twist
for Steenbrink mixed Hodge structures.

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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph