Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse period mappings of $K3$ surfaces and a construction of modular
  forms for a lattice with the Kneser conditions   We explicitly construct modular forms on a $4$-dimensional bounded symmetric
domain of type $IV$ based on the variation of the Hodge structures of $K3$
surfaces. We study the ring of our modular forms. Because of the Kneser
conditions of the transcendental lattice of our family of $K3$ surfaces, our
modular group has a good arithmetic property. Also, our results can be regarded
as natural extensions of classical Siegel modular forms from the viewpoint of
$K3$ surfaces.

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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph