Will a new 2014 Mac Mini support a 4k monitor?

Yes but only at 30 Hz

Video Support

Support for up to two displays at 2560 by 1600 pixels, both at millions of colors

Thunderbolt digital video output

• Native Mini DisplayPort output
• DVI output using Mini DisplayPort to DVI Adapter (sold separately)
• VGA output using Mini DisplayPort to VGA Adapter (sold separately)
• Dual-link DVI output using Mini DisplayPort to Dual-Link DVI Adapter (sold separately)

HDMI video output

• Support for 1080p resolution at up to 60Hz
• Support for 3840-by-2160 resolution at 30Hz
• Support for 4096-by-2160 resolution at 24Hz

DVI output using HDMI to DVI Adapter (sold separately)

You can also connect the 4K monitor to the Mini via a mini displayport but you still only get 30 Hz

Hello!

Does work mac mini 2014 late with this monitor on 4K Samsung Monitor U28D590D???

When yes how? 60 hz or 30 Hz?? hdmi or DP??