Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of a theorem of G. K. White   An n-dimensional simplex \Delta in \R^n is called empty lattice simplex if
\Delta \cap\Z^n is exactly the set of vertices of \Delta . A theorem of G. K.
White shows that if n=3 then any empty lattice simplex \Delta \subset\R^3 is
isomorphic up to an unimodular affine linear transformation to a lattice
tetrahedron whose all vertices have third coordinate 0 or 1. In this paper we
prove a generalization of this theorem for an arbitrary odd dimension n=2d-1
which in some form was conjectured by Seb\H{o} and Borisov. This result implies
a classification of all 2d-dimensional isolated Gorenstein cyclic quotient
singularities with minimal log-discrepancy at least d.

7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio