Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A higher rank Euler system for the multiplicative group over a totally
  real field   In this paper, we construct a higher rank Euler system for the multiplicative
group over a totally real field by using the Iwasawa main conjecture proved by
Wiles. A key ingredient of the construction is to generalize the notion of the
characteristic ideal. Under certain technical assumptions, we prove that all
higher Fitting ideals of a certain $p$-ramified Iwasawa module are described by
analytic invariants canonically associated with Stickelberger elements.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ