Deploy C# code to Linux

I know there is a thing called Mono.

I wonder if there is an official compiler for Linux? MS open sourced and ported part of .NET Framework to Linux, but it was not quite long time ago, I did not find too much useful information on Google.

What I am trying to achieve is:

1. Write and debug C# code on Windows using VS;
2. Copy paste code to a Linux environment;
3. Write a bash script or alike/simply invoke something like "make" to build the code.

The code I am writing is a headless server back end, so there is no concern about GUI at all.

Thank you!