Kernel 3.5 on Precise

I don´t think you will get 3.5 kernel in Precise by updating.You will have to compile it by yourself if you want it.

But https://wiki.ubuntu.com/Kernel/Release/Rolling suggests that the kernel from 12.10, which is 3.5, will be coming to 12.04. Please correct me, if I'm wrong.

There are PPAs for kernel's but they are unofficial and it is not supported or advised to use a 3rd party for something so crucial as the kernel. The kernel may also be in the backports repo but it's your choice.

That is why I'd like to have a supported kernel. I'd be willing to build it myself, but find it rather straightforward to get prebuild packages, updates, etc.

The Ubuntu Wiki says:
linux-current-<flavor> - always points to the the most recently released kernel and headers, e.g., 12.10, 13.04, etc.

I am still wondering, what that means exactly. What ist the difference between the "linux-image-generic" and "linux-current-generic" package?

Is there a particular reason you want the 3.5 kernel?

I mainly want it because of better support for Ivy Bridge platforms. Especially integrated graphics. I'm having problems with my multi monitor setup at work and it seems the 3.5 kernel solves these.

http://www.upubuntu.com/2012/07/install-linux-kernel-35-from-ppa-on.html

It may get added anyway as Intel integrated GPUs become more common. You may need to jump to Quantal

I like having a LTS version as I need the computer for work. But thank you for taking the time and answering my question.