Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II   We give variants of lifting construction, which define new classes of modular
forms on the Siegel upper half-space of complex dimension 3 with respect to the
full paramodular groups (defining moduli of Abelian surfaces with arbitrary
polarization). The data for these liftings are Jacobi forms of integral and
half-integral indices. In particular, we get modular forms which are
generalizations of the Dedekind eta-function. Some of these forms define
automorphic corrections of Lorentzian Kac-Moody algebras with hyperbolic
generalized Cartan matrices of rank three classified in Part I of this paper.
We also construct many automorphic forms which give discriminants of moduli of
K3 surfaces with conditions on Picard lattice. These results are important for
Mirror Symmetry and theory of Lorentzian Kac-Moody algebras.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph