Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributions of rational points on Kummer Varieties   We prove several results on the number of rational points on open subsets of
Kummer varieties of arbitrary dimension. Some of our results are unconditional,
and others depend on the Parity Conjecture (a corollary of the Conjecture of
Birch and Swinnerton-Dyer). As examples, we show that (conditional on the
Parity Conjecture) all odd-dimension Kummer varieties over Q which are
quotients of absolutely simple abelian varieties have dense rational points,
and we construct an infinite family of K3 surfaces with dense rational points.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex