Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kodaira dimension of moduli of special $K3^{[2]}$-fourfolds of degree 2   We study the Noether-Lefschetz locus of the moduli space $\mathcal{M}$ of
$K3^{[2]}$-fourfolds with a polarization of degree $2$. Following Hassett's
work on cubic fourfolds, Debarre, Iliev, and Manivel have shown that the
Noether-Lefschetz locus in $\mathcal{M}$ is a countable union of special
divisors $\mathcal{M}_d$, where the discriminant $d$ is a positive integer
congruent to $0,2,$ or $4$ modulo 8. We compute the Kodaira dimensions of these
special divisors for all but finitely many discriminants; in particular, we
show that for $d>224$ and for many other small values of $d$, the space
$\mathcal{M}_d$ is a variety of general type.

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The categories of this paper are: nlin
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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: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: funct-an