Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of algebraic maps from real projective spaces to toric varieties   The problem of approximating the infinite dimensional space of all continuous
maps from an algebraic variety $X$ to an algebraic variety $Y$ by finite
dimensional spaces of algebraic maps arises in several areas of geometry and
mathematical physics. An often considered formulation of the problem (sometimes
called the Atiyah-Jones problem after \cite{AJ}) is to determine a (preferably
optimal) integer $n_D$ such that the inclusion from this finite dimensional
algebraic space into the corresponding infinite dimensional one induces
isomorphisms of homology (or homotopy) groups through dimension $n_D$, where
$D$ denotes a tuple of integers called the "degree" of the algebraic maps and
$n_D\to\infty$ as $D\to\infty$. In this paper we investigate this problem in
the case when $X$ is a real projective space and $Y$ is a smooth compact toric
variety.

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The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
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The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin