The following examples are representative situations in scientific writing. I hope to understand whether there are any preferred or correct tenses, and whether there are grammatical reasons and stylistic conventions.
Refer to published work:
In his famous publication [1], Einstein [shows/showed/has shown] ...
Talk about earlier parts of the paper:
Earlier, in Section 2, we [show/showed/have shown]...
The previous discussions [show/showed/have shown]...
Talk about later parts of the paper:
Later, in Section 22, we [show/will show]...
The following discussions [show/will show]...