[Tex/LaTex] XeLaTeX, Modern Latin and cyrilic

Question

\documentclass{article}
\usepackage{fontspec}
\usepackage{polyglossia}
\usepackage{unicode-math}

\setmainfont{Latin Modern Roman}
\setsansfont{Latin Modern Sans}
\setmonofont{Latin Modern Mono}
\setmathfont{Latin Modern Math}

\begin{document}
Hello, world!
Привет, мир!
$ a≡b≠Ω♯$
\end{document}

Here is example, that do not work. Math — perfect, but no cyrillic in normal mode. What have I missed?

Answer 1

You need text font with Cyrillic support, if you want a Computer Modern derivative, try CM Unicode fonts:

\documentclass{article}
\usepackage{fontspec}
\usepackage{polyglossia}
\usepackage{unicode-math}

\setmainfont{CMU Serif}
\setsansfont{CMU Sans Serif}
\setmonofont{CMU Typewriter Text}
\setmathfont{Latin Modern Math}

\begin{document}
Hello, world!
Привет, мир!
$ a≡b≠Ω♯$
\end{document}