Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tritangent planes to space sextics: the algebraic and tropical stories   We discuss the classical problem of counting planes tangent to general
canonical sextic curves at three points. We determine the number of real
tritangents when such a curve is real. We then revisit a curve constructed by
Emch with the greatest known number of real tritangents, and conversely
construct a curve with very few real tritangents. Using recent results on the
relation between algebraic and tropical theta characteristics, we show that the
tropicalization of a canonical sextic curve has 15 tritangent planes.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph