Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of 2-dimensional graded normal hypersurfaces with
  $a(R)\le 6$   Let k be a field of any characteristic and R = k[x,y,z]/(f) be a graded
normal hypersurface. We call (a,b,c; h) = deg(x,y,z;f) the type of R with
gcd(a,b,c)=1. Then the a-invariant a(R) is given by h - (a+b+c). The
classification of such R (or f) was made by many authors (Arnold, Saito,
Wagreich, ...). Here we classify the possible types of R for a fixed a(R) with
$- 1 \le a(R) \le 6$ by commutative ring theoretic method using the
Dolgachev-Pinkham-Demazure construction of normal graded rings. We also show
that if we fix $a(R) \ge 0$, then the number of possible types of R is finite.

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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin