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.pdfFor 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 (GMA 4500MHD)
Max external resolution: 2048x1536@75Hz
ATI™ Radeon™ HD 3200 graphicsMax external resolution: 2456x1536@60Hz
BTW, seems that things don't improve for the otherwise superior 14" and 15" models.