Weighted approximation for weak convex external fields

Weak Approximation over Function Fields

— We prove that rationally connected varieties over the function field of a complex curve satisfy weak approximation for places of good reduction.

WEAK APPROXIMATION FOR TORI OVER p-ADIC FUNCTION FIELDS

We study local-global questions for Galois cohomology over the function field of a curve defined over a p-adic field, the main focus being weak approximation of rational points. We construct a 9-term Poitou–Tate type exact sequence for tori over a field as above (and also a 12-term sequence for finite modules). Like in the number field case, part of the sequence can then be used to analyze the ...

A weak approximation for the Extrema's distributions of Levy processes

‎Suppose that $X_{t}$ is a one-dimensional and real-valued L'evy‎ ‎process started from $X_0=0$‎, ‎which ({bf 1}) its nonnegative‎ ‎jumps measure $nu$ satisfying $int_{Bbb‎ ‎R}min{1,x^2}nu(dx)

Weak Approximation and R-equivalence over Function Fields of Curves

For a rationally connected fibration over a complex curve, and for a closed point of the curve, we prove that every power series section of the fibration near the point is approximated to arbitrary order by polynomial sections provided the “Laurent fiber”, i.e., the deleted power series neighborhood of the fiber, as a variety over the Laurent series field is R-connected – the analogue of ration...

Weak Fields for ECC