Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational maps between varieties associated to central simple algebras   In this paper we show that if two central simple $k$-algebras generate the
same cyclic subgroup in $\mathrm{Br}(k)$, then there are rational maps between
varieties associated to these algebras, such as Brauer--Severi varieties, norm
hypersurfaces and symmetric powers. In some cases we even have rational
embeddings. We also relate the obtained results to the Amitsur conjecture.

3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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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: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th