Unfortunately Lenovo tends to hide their detailed specs into large Personal Systems Reference pdfs. Here's the one for Edge machines: http://www.lenovo.com/psref/pdf/slbook.pdf
For the 13" Edge the maximum resolution depends on whether you have an Intel or AMD machine but neither appears to meet your desires. In fact, you may need dual-link DVI to pull that off. But I'm not positive. I have a Dell 2408WFP that I'm very happy with. It's a step down in resolution: "only" 1920x1200. But that's enough to edit 1080P video which the next step down can't handle.Intel Graphics Media Accelerator 4500MHD
Max external resolution: 2048x1536@75HzATI™ Radeon™ HD 3200 graphics
Max external resolution: 2456x1536@60Hz
BTW, seems that things don't improve for the otherwise superior 14" and 15" models.