WebbWe prove that a projective scheme over a global function field has a rational point if it deforms to a rationally simply connected variety in characteristic 0 with vanishing … WebbSimply connected varieties in characteristic $p>0$ Part of: Local theory Arithmetic problems. Diophantine geometry Arithmetic algebraic geometry (Co)homology theory Published online by Cambridge University Press: 09 October 2015 Hélène Esnault, Vasudevan Srinivas and Jean-Benoît Bost Show author details Hélène Esnault Affiliation:
SIMPLY CONNECTED SETSf - American Mathematical Society
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Rational points of rationally simply connected varieties over global …
WebbRemark 9.22 Any proper variety which is an ´etale cover of a (separably) ra-tionally connected variety is (separably) rara-tionally connected (proceed as in Remark 9.9). In … WebbIn topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be … Webbare rationally connected; thus the hypersurfaces are rationally simply connected. This paper proves stronger versions of theorems in [HS05]. 1. Introduction A smooth projective variety is rationally connected if every pair of points is contained in a rational curve, cf. [Kol96], [Deb01]. This is analogous to the notion of path-connectedness in ... how did rick get so smart