VG240Y P Black screen on Nvidia card?

I've got a VG240Y P monitor going black for 4-5 seconds. Some days it does not happen, sometimes it is under load, sometimes it is not. Can't figure the cause.
It is hooked up to a MSI GTX 1070 card through the supplied HDMI cable. I found that it is a common problem with Radeon cards, and they switch to DP cables and it works.
I tried that with a DP cable I had, but it still went black for some seconds. I cannot attest to the quality of this cable, I think it is a cheap one. Should I buy a new Displayport cable? Or are there any other reasons this could be happening?

I tried hooking it to another PC, that does not have have a GPU, just the integrated Intel one, and as of now, it has not gone black. I attached an older monitor to the GTX 1070 card, and there were no problems too. Really frustrating.