Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Base independent algebraic cobordism   The purpose of this article is to show that the bivariant algebraic
$A$-cobordism groups considered previously by the author are independent of the
chosen base ring $A$. This result is proven by analyzing the bivariant ideal
generated by the so called snc relations, and, while the alternative
characterization we obtain for this ideal is interesting by itself because of
its simplicity, perhaps more importantly it allows us to easily extend the
definition of bivariant algebraic cobordism to divisorial Noetherian derived
schemes of finite Krull dimension. As an interesting corollary, we define the
corresponding homology theory called algebraic bordism. We also generalize
projective bundle formula, the theory of Chern classes, the Conner--Floyd
theorem and the Grothendieck--Riemann--Roch theorem to this setting. The
general definitions of bivariant cobordism is based on the careful study of
ample line bundles and quasi-projective morphisms of Noetherian derived
schemes, also undertaken in this work.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th