On the Geometric Subgroups of the Étale Fundamental Groups of Varieties over Real Closed Fields
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DOI: 10.1007/s00209-020-02593-7
Abstract: In the present paper, we establish a “group-theoretic” algorithm for reconstructing, from the etale fundamental group of a suitable proper normal variety over a real closed field, the geometric subgroup of the etale fundamental group… read more here.
Keywords: fundamental groups; subgroups tale; geometric subgroups; groups varieties ... See more keywords
Real closed valued fields with analytic structure
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091519000361
Abstract: Abstract We show quantifier elimination theorems for real closed valued fields with separated analytic structure and overconvergent analytic structure in their natural one-sorted languages and deduce that such structures are weakly o-minimal. We also provide… read more here.
Keywords: analytic structure; closed valued; structure; valued fields ... See more keywords