The answer to your question is no, if you leave you will not be giving up or abandoning or deserting your house and property.
However, I would strongly advise you to consult a divorce attorney before you make any decisions.
First of all, you are in a very emotional state right now. That's to be expected under the circumstances. But while you are in such a state, it is very tempting to make rash decisions and take actions that may not be in your best interest.
Secondly, divorces take time. And there are 2 time periods in a divorce. The period between the time you file and the time the divorce is finalized. And the period after the divorce is finalized. The period you asked about is the second period: the time after the divorce is finalized. If you leave now, you will not jeopardize the award of property when the divorce is finalized. But you could jeopardize your position during the first period. And that time period is going to last months, at least. For example, if you leave without proper planning, you could create a situation where he gets to live in the house until the divorce is final. And you don't. And there are many such factors to be considered before you commit to a course of action.
So, I strongly urge you to talk to your divorce lawyer before you decide to leave or take any other substantive action.
I hope this answers your question. If there is anything that you do not understand, please let me know and I will be happy to explain further.
In the meantime, please click "Accept" so that I may be paid for my answer and any subsequent follow-ups with you.
The Judge (actively practicing family lawyer and former Family Court judge)
P.S. I am frequently asked how someone can specifically request that I, personally, answer a question. Here’s how: for new questions in the future, always begin your question with “QUESTION FOR THE JUDGE.”