Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Successive minima of projective toric varieties   We compute the successive minima of the projective toric variety $X_\cA$
associated to a finite set $ \cA \subset \Z^n$. As a consequence of this
computation and of the results of S.-W. Zhang on the distribution of small
points, we derive estimates for the height of the subvariety $X_\cA$ and of the
  $\cA$-resultant. These estimates allow us to obtain an arithmetic analogue of
the Bezout-Kushnirenko's theorem concerning the number of solutions of a system
of polynomial equations.
  As an application of this result, we improve the known estimates for the
height of the polynomials in the sparse Nullstellensatz.

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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th