Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kanev and Todorov surfaces in toric 3-folds   In the first part of this article we show for some examples of surfaces of
general type in toric 3-folds how to construct minimal and canonical models by
toric methods explicitly. The examples we study turn out to be surfaces of
general type, namely so called Kanev surfaces and Todorov surfaces. We show how
properties of our examples of surfaces could be derived directly from
properties of some polytopes and we compute the singularities of their
canonical models.

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an