If my assumption is correct, you are a conditional resident alien based on an I-130 petition filed by your wife, then, your temporary green card will be valid for a 2 year period and before the end of which, (a) either both you and your spouse must file a joint petition to remove the conditions on your green card joint Form I-751 or in the alternative (b) file the I-751 alone by yourself with request to excuse the requirements for joint filing. As reasons for not jointly filing, you may be able to adduce evidence of your physical and or psycho emotional abuse you suffered at the hands of your spouse. The fact of her cheating would be evidence of her abuse. You can file a divorce. But I'd suggest that if possible, you should not divorce her yet, but instead first gather as much evidence that (a) you entered into the marriage in good faith and (b) evidence of the abuse, So, unless you are about to reach the 2 year expiry of your green card, you should take all these measures. Note that regardless of how an I-751 petition is filed [jointly or self-filed] if it is denied, DHS is legally mandated to initiate proceedings for your deportation from United States. While it does not necessarily mean that you will ultimately be deported from the US, the financial, emotional and other costs associated with the deportation process should make clear the need for you to carefully weigh your options as well as of the prudence of seeking competent legal advice from a good immigration right away before things get too far out of hand.
Answered on Jan 30th, 2013 at 6:23 AM