Webvariety X= X(F). It is not hard to see that the natural action of the torus corresponding to the zero cone extends to an action on the whole of X. Therefore X(F) is indeed a toric variety. Let us look at some examples. Example 11.3. Suppose that we start with M= Z and we let Fbe the fan given by the three cones f0g, the cone spanned by e 1 and ... WebLet X be a smooth and geometrically integral variety over a number field k. Suppose X contains a torus and ¯¯¯k[X]×=¯¯¯k×, let W⊂X be a closed subset of codimension at least 2. In this note, we proved that X∖W satisfies strong approximation with étale algebraic Brauer–Manin obstruction off one place. Furthermore, if Pic(¯¯¯¯¯X) is torsion free, then …
Strong approximation for a toric variety - NASA/ADS
WebMar 5, 2014 · Abstract: Let X be a toric variety over a number field k with \kbar[X]^\times=\kbar^\times. Let W\subset X be a closed subset of codimension at least … WebMay 22, 2024 · Parameterized toric codes includes toric codes, constructed by Hansen in [ 9 ], as a special case where Q is the identity matrix I_r and Y_Q is the full torus T_X. Toric codes are among evaluation codes on a toric variety showcasing champion examples, see [ 1, 2, 12 ]. The length in this special case is T_X = (q-1)^n. terme rijeka
INTRODUCTION TO TORIC VARIETIES - ETH Z
WebMar 5, 2014 · Strong approximation for the variety containing a torus March 2014 Source arXiv Authors: Dasheng Wei Chinese Academy of Sciences Request full-text Abstract Let X be a smooth and geometrically... WebStrong approximation for a toric variety - CORE Reader WebJun 1, 2004 · This is a survey of results in a particular direction of the theory of strong approximation by orthogonal series, related mostly with author's contributions to the subject. ... We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection ... terme snovik akcija