Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}
Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}
In this paper we study properties of endomorphisms of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper P Superscript k"> <mml:semantics> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">P</mml:mi> </mml:mrow> <mml:mi>k</mml:mi> </mml:msup> <mml:annotation encoding="application/x-tex">\mathbb {P}^k</mml:annotation> </mml:semantics> </mml:math> </inline-formula> using a symmetric product construction <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis double-struck upper P Superscript 1 Baseline right-parenthesis …