You can add C# support to VS Code by installing the Microsoft extensions with the id 'ms-vscode.csharp' but support for projects is limited. This extension will recognise C# files and will allow you to have a lightweight editor for .cs files but in many cases that is where it ends. Generally, Microsoft recommends Visual Studio as the best solution for .NET projects. Of course, like VS Code, Visual Studio also comes in a community flavour.
The crux of the matter is that VS code doesn't have robust enough support for msbuild and therefor .csproj files. Given that the community edition of Visual Studio exists there may not be enough appetite to change this quickly enough either. The extension above, however, is developed in collaboration with OmniSharp who may work on this support in time.
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