This isn't a stupid question at all.
HDMI 1.3 supports 2560x1600 @ 60 Hz and this support is carried forward to later versions.
Dual link DVI-D also supports 2560x1600 @ 60 Hz
To do this though DVI transmits two different channels (hence dual link).
Have a look at a connector like this:
http://www.pccasegear.com/index.php?main_page=product_info&products_id=14395&cPath=624&utm_source=googlebase&utm_medium=cse&utm_campaign=export_feed&gclid=CP7G5vnPycACFdclvQodq30AWQ#googlebase
This has a DVI connector with the dual link pins included, but in the specification they state "provides up to 5 Gbps of bandwidth". This means it is limited to 1920x1200 @ 60 Hz, a single link DVI-D.
The only active adapter I found to output dual link DVI was from display port, not HDMI:
http://eu.startech.com/AV/Displayport-Converters/Mini-DisplayPort-to-DVI-Dual-Link-Active-Adapter-USB-Powered~MDP2DVID
In your original post you said you had something like this already.
Unfortunately, the conclusion I've come to is that you are going to be limited to 1920x1200 @ 60 Hz.
You should be able to achieve this with any HDMI to DVI adapter or cable.
If your tablet supported Displayport or Dual link DVI-D, you would be able to support the full resolution.
If your monitor supported HDMI 1.4 or higher, you would be able to support the full resolution.
From what I can see though, the adapter you need to display this resolution just doesn't exist.
Note that even if you buy a monitor with HDMI input, chances are this only supports HDMI v1.2.
An example is the Dell U2713HM. This monitor supports display port (2560x1440), Dual link DVI-D (2560x1440), HDMI (1920x1080) and VGA (2048x1152). That information isn't listed in the monitor specifications.
http://en.community.dell.com/support-forums/peripherals/f/3529/t/19469568