The version of .NET that Microsoft released for Linux is the CoreCLR. This is mainly intended for back end servers and does not include any visual framework (UI).
They also released Windows 10 for the Pi, but it can only be programmed with Universal Apps, so AdvancedHMI will not run on it.
There are many users that have successfully run applications on the Raspberry Pi using Mono. I was also told that WINE will run AdvancedHMI apps on Linux. I even recently received a note from a user saying they run an AdvancedHMI app on the new Pi Zero.