That's how it works, would probably just be a stupid answer in most cases. But in this case, it is how it works; since you derive from A you say that you are A + the extra features you add.
Therefore you need to be able to access the same variables that you would through an instance of A.
However, inheriting a static class makes no sense while access to the static members / fields / methods does.
An example of this is the following:
internal class BaseUser
{
public static string DefaultUserPool { get; set; }
}
internal class User : BaseUser
{
public int Id { get; set; }
public string Name { get; set; }
public User Parent { get; set; }
}
Where the test looks like this:
User.DefaultUserPool = "Test";
BaseUser.DefaultUserPool = "Second Test";
Console.WriteLine(User.DefaultUserPool);
Console.WriteLine(BaseUser.DefaultUserPool);
Both of the WriteLines outputs "Second Test", this is because both BaseUser and User should use DefaultUserPool, by design. And overriding static implemented methods wouldn't make mucn sense since it's just an accessor in the child-class.
There can be only one. Overriding it would mean that there's a new implementation for that sub-class, which would kill the term "static".