are there function pointers in c#?

As others have said, you'll want to use delegates for situations in C# that you would have used function pointers for in C++. Delegates are conceptually similar to function pointers but far more pleasant to use, since they encapsulate not just the function, but also the "receiving" object which will be the "this" of the invocation.

Note that the CLR does have the concept of function pointers. If you were to take a close look at how the C# compiler generates code that constructs delegates, you'd see that it makes a managed reference to a function and passes that to a delegate constructor. There is no language feature in C# that allows you to get at the "naked" function pointer and manipulate it directly.

However, since the concept does exist in the CLR, it is theoretically possible that a future version of C# could support function pointers as a first-class concept in unsafe code, just as we support data pointers in unsafe code. What we would do in that case is (1) track the signature of the function pointer as the pointer type, and (2) emit code that uses the "calli" (call through pointer indirection) CIL opcode.

This would increase efficiency in certain obscure interop scenarios where today basically you have to make the marshalling code jump through a lot of hoops, building up delegate instances solely so that the marshaller can get at the function pointer stored in them. If we could avoid requiring the expense of delegate construction and go straight to the function pointer then those now-rare interop scenarios could become less expensive.

However, I wouldn't hold my breath waiting for that feature if I were you. We've prototyped it and it works reasonably well, but I don't think the demand is there to warrant adding it to a general-purpose language like C# at this time.

Delegates are essentially function pointers, but with extra multicast capabilities built in. So you can assign several functions to the same delegate, and they will all be called in sequence when the delegate is called.

Delegates also have built-in asynchronous interfaces, and have co/contra variance when assigning new functions to a delegate (and, in .NET 4, when passing delegates around)