Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lifting Monomial Ideals   We show how to lift any monomial ideal J in n variables to a saturated ideal
I of the same codimension in n+t variables. We show that I has the same graded
Betti numbers as J and we show how to obtain the matrices for the resolution of
I. The cohomology of I is described. Making general choices for our lifting, we
show that I is the ideal of a reduced union of linear varieties with
singularities that are `as small as possible' given the cohomological
constraints. The case where J is Artinian is the nicest. In the case of curves
we obtain stick figures for I, and in the case of points we obtain certain
k-configurations which we can describe in a very precise way.

10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th