AssemblyInfo.cs contains information about your assembly, like name, description, version, etc. You can find more details about its content reading the comments that are included in it. If you delete it, your assembly will be compiled with no information, i.e., in the Details tab of the file properties, you will see no name, no description, version 0.0.0.0, etc.
It could be interesting to support AssemblyInfo.cs files.
As state here:
It could be interesting to support
AssemblyInfo.cs
files.