Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the degrees of birational maps with arithmetically
  Cohen-Macaulay graphs   A rational map whose source and image are projectively embedded varieties has
an {\em Arithmetically Cohen-Macaulay graph} if the Rees algebra of one (hence
any) of its base ideals is a Cohen-Macaulay ring. If the map is birational onto
the image one considers how this property forces an upper bound on the degree
of a representative of the map. In the plane case a complete description is
given of the Cremona maps with Cohen-Macaulay graph, while in arbitrary
dimension $n$ it is shown that a Cremona map with Cohen-Macaulay graph has
degree at most $n^2$.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom