Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed Hodge structures with modulus   We define a notion of mixed Hodge structure with modulus that generalizes the
classical notion of mixed Hodge structure introduced by Deligne and the level
one Hodge structures with additive parts introduced by Kato and Russell in
their description of Albanese varieties with modulus. With modulus triples of
any dimension we attach mixed Hodge structures with modulus. We combine this
construction with an equivalence between the category of level one mixed Hodge
structures with modulus and the category of Laumon $1$-motives to generalize
Kato-Russell's Albanese varieties with modulus to $1$-motives.

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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol