Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toric Fano varieties associated to building sets   We characterize building sets whose associated nonsingular projective toric
varieties are Fano. Furthermore, we show that all such toric Fano varieties are
obtained from smooth Fano polytopes associated to finite directed graphs.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph