It seems that the nuget runtime packages for linux contain wrong binaries:
nvidia@jetson-0423818076660:~$ file .nuget/packages/libllvm.runtime.linux-arm64/8.0.0/runtimes/linux-arm64/native/libLLVM.so .nuget/packages/libllvm.runtime.linux-arm64/8.0.0/runtimes/linux-arm64/native/libLLVM.so: ELF 64-bit LSB shared object, x86-64, version 1 (GNU/Linux), dynamically linked, BuildID[sha1]=5d6dde93e14328b16023d7e59cb6dc2265436849, not stripped
Calling llvmSharp results in DLLNotFoundExceptions. When using libLLVM8 from the ubuntu repositories instead llvmSharp works fine.