Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic Curves in Moduli Space of Stable Bundles of Rank 3   Let $M$ be the moduli space of rank 3 stable bundles with fixed determinant
of degree 1 on a smooth projective curve of genus $g\geq 2$. When $C$ is
generic, we show that any essential elliptic curve on $M$ has degree (respect
to anti-canonical divisor $-K_{M}$) at least 6, and we give a complete
classification for elliptic curves of degree 6, which is not in conformity with
Sun's Conjecture. Moreover, if $g>12$, we show that any elliptic curve passing
through the generic point of $M$ has degree at least 18.

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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th