Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative subspace theorem and general form of second main theorem
  for higher degree polynomials   This paper deals with the quantitative Schmidt's subspace theorem and the
general from of the second main theorem, which are two correspondence objects
in Diophantine approximation theory and Nevanlinna theory. In this paper, we
give a new below bound for Chow weight of projective varieties defined over a
number field. Then, we apply it to prove a quantitative version of Schmidt's
subspace theorem for polynomials of higher degree in subgeneral position with
respect to a projective variety. Finally, we apply this new below bound for
Chow weight to establish a general form of second main theorem in Nevanlinna
theory for meromorphic mappings into projective varieties intersecting
hypersurfaces in subgeneral position with a short proof. Our results improve
and generalize the previous results in these directions.

21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio