Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extreme Divisors on $\bar{M}_{0,7}$ and Differences over Characteristic
  2   We find 101,052 new extreme divisors on $\bar{M}_{0,7}$ (in 31 $S_7$-orbits)
and millions of extreme nef curves over characteristic 0. Over characteristic
2, we identify two more $S_7$-orbits of extreme divisors, and prove
$\bar{\text{Eff}}^k (\bar{M}_{0,n})$ is strictly larger over characteristic 2
than it is over characteristic 0, for all $1\leq k \leq n-6$. For each such $k$
we provide explicit cycles which are extreme in $\text{Eff}^k(\bar{M}_{0,n})$
over characteristic 2 but external to $\bar{\text{Eff}}^k(\bar{M}_{0,n})$ over
characteristic 0. We apply our method of finding new extreme divisors to
compute $\text{Eff}(\bar{M}_{0,\mathcal{A}})$ for $\mathcal{A}=(\frac{1}{3},
\frac{1}{3}, \frac{1}{3}, \frac{1}{3}, \frac{1}{3}, \frac{1}{3}, 1)$, proving
it is polyhedral over any field, and conjecture a description of
$\text{Eff}(\text{Bl}_e \bar{LM}_7)$.

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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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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: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci