Generalizations and minimalistic refinements of the t-birational Section Conjecture

In this note we give generalizations and prove ‘minimalistic’ refinements of the t-birational Section Conjecture (t-BSC), cf. [Be], by doing both: First, by extending the class of base fields over which the t-BSC holds, and second, by proving refinements of the t-BSC which involve much less, that is minimalistic, Galois theoretical information.