Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weierstrass weight of the hyperosculating points of generalized Fermat
  curves   Let $(S,H)$ be a generalized Fermat pair of the type $(k,n)$. If $F\subset S$
is the set of fixed points of the non-trivial elements of the group $H$, then
$F$ is exactly the set of hyperosculating points of the standard embedding
$S\hookrightarrow {\mathbb{P}}^{n}$. We provide an optimal lower bound (this
being sharp in a dense open set of the moduli space of the generalized Fermat
curves) for the Weierstrass weight of these points.

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The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn