Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathbb{A}^1$-equivalence of zero cycles on surfaces   In this paper, we study $\mathbb{A}^1$-equivalence classes of zero cycles on
open complex algebraic surfaces. We prove the logarithmic version of Mumford's
theorem on zero cycles and prove that log Bloch's conjecture holds for
quasiprojective surfaces with log Kodaira dimension $-\infty$.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg