Submission date: 21 December 2017

Abstract:

The main purpose of this paper is to establish, over Henselian valued fields $K$ with analytic structure, the closedness theorem to the effect that every projection with a projective fiber is a definably closed map. Here the ground field $K$ is assumed to be of equicharacteristic zero, possibly non algebraically closed.

Mathematics Subject Classification: Primary 32B05, 32B20, 14G27, Secondary 03C10, 14P15, 12J25

Keywords and phrases:

Full text arXiv 1712.08179: pdf, ps.