On the orbits of plane automorphisms and their stabilizers
Resumen:
Let 𝕜 be a perfect field with algebraic closure 𝕜. If 𝐻 is a subgroup of plane automorphisms over 𝕜 and 𝑝 ∈ 𝕜 2 is a point, we describe the subgroup consisting of plane automorphisms which stabilize the orbit of 𝑝 under 𝐻, when this orbit has irreducible closure in 𝕜 2. As an application, we treat the case where 𝐻 is cyclic and the closure of the orbit of 𝑝 is an arbitrary (non-necessarily irreducible) curve.
| 2023 | |
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AUTOMORPHISM OF THE AFFINE PLANE STABILIZAERS OF ORBITS |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44821 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
