Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane
  Curves   Let $\Gamma$ be a plane curve of degree $d$ with $\delta$ ordinary nodes and
no other singularities. If $P$ is a smooth point on $\Gamma$ then the
Weierstrass gap sequence at $P$ is considered as that at the corresponding
point on the normalization of $\Gamma$. A smooth point $P\in\Gamma$ is called a
total inflection point if $i(\Gamma ,T;P)=d$ where $T$ is the tangent line to
$\Gamma$ at $P$. There are many possible Weierstrass gap sequences at total
inflection points. Our main results are: Among them (1) There exists a pair
$(P,\Gamma )$ such that the gap sequence at $P$ is the minimal (in the sense of
weight). (2) There exists a pair $(P,\Gamma )$ such that the gap sequence at
$P$ is the maximal (resp. up to 1 maximal). And we characterize these cases in
the sense of location of nodes.

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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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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: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph