Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An intrinsic homotopy for intersecting algebraic varieties   Recently we developed a diagonal homotopy method to compute a numerical
representation of all positive dimensional components in the intersection of
two irreducible algebraic sets. In this paper, we rewrite this diagonal
homotopy in intrinsic coordinates, which reduces the number of variables,
typically in half. This has the potential to save a significant amount of
computation, especially in the iterative solving portion of the homotopy path
tracker. There numerical experiments all show a speedup of about a factor two.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas