The Conjugates of Algebraic Schemes
| dc.creator | An, Feng-Wen | |
| dc.date | 2007-02-16 | |
| dc.date | 2007-12-16 | |
| dc.date.accessioned | 2026-07-07T08:49:23Z | |
| dc.date.available | 2026-07-07T08:49:23Z | |
| dc.description | Fixed an algebraic scheme $Y$. We suggest a definition for the conjugate of an algebraic scheme $X$ over $Y$ in an evident manner; then $X$ is said to be Galois closed over $Y$ if $X$ has a unique conjugate over $Y$. Now let $X$ and $Y$ both be integral and let $X$ be Galois closed over $Y$ by a surjective morphism $ϕ$ of finite type. Then $ϕ^{\sharp}(k(Y))$ is a subfield of $k(X)$ by $ϕ$. The main theorem of this paper says that $k(X) /ϕ^{\sharp}(k(Y)) $ is a Galois extension and the Galois group $Gal(k(X)/ϕ^{\sharp}(k(Y))) $ is isomorphic to the group of $k-$automorphisms of $X$ over $Y$. | |
| dc.description | A reduced and refined version. 26 Pages | |
| dc.identifier | https://arxiv.org/abs/math/0702493 | |
| dc.identifier | http://arxiv.org/abs/math/0702493 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144281 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J50; 11R37 | |
| dc.title | The Conjugates of Algebraic Schemes | |
| dc.type | text |