You haven't given enough info for a meaningful and useful answer. You should gather up, or be ready to gather up, the following info, and discuss it in detail with an eexperienced family law attorney:
1. When H bought the house;
2. What it was worth, and what was owed on it, when you got married;
3. How/why your name got on the deed (re-finance? gift? estate planning?)
4. What the house was worth, and the loan balance, the day before your name went on the deed;
5. What it was worth, and the loan balance, on the day you separated;
6. What it's worth now.
You may be entitled to 50% of any appreciation (increase in value) from the date your name went on thorugh and including the day of trial, but you'll need to review all the details carefully to be certain.
