Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyubeznik numbers in mixed characteristic   This manuscript defines a new family of invariants, analogous to the
Lyubeznik numbers, associated to any local ring whose residue field has prime
characteristic. In particular, as their nomenclature suggests, these "Lyubeznik
numbers in mixed characteristic" are defined for all local rings of mixed
characteristic. Some properties similar to those in equal characteristic hold
for these new invariants. Notably, the "highest" Lyubeznik number in mixed
characteristic is a well-defined notion. Although the Lyubeznik numbers in
mixed characteristic and their equal-characteristic counterparts are the same
for certain local rings of equal characteristic p>0, we also provide an example
where they differ.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat