Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On growth of systole along congruence coverings of Hilbert modular
  varieties   We study how the systole of principal congruence coverings of a Hilbert
modular variety grows when the degree of the covering goes to infinity. We
prove that given a Hilbert modular variety $M$ of real dimension $2n$, the
sequence of principal congruence coverings $M_{I}$ eventually satisfies
$$sys\pi_{1}(M_{I})\geq \frac{4}{3\sqrt{n}}\log(vol(M_{I}))-c,$$ where $c$ is a
constant independent of $M_{I}$.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
3
The categories of this paper are: physics