I drive a company car through my employer for my type of work. They pay for upkeep and gas as well, except for the monthly lease payments, I have to pay that every month and I do not get reimbursed. Is this deductible?

It is through a "fleet" type arrangement, I am allowed to use it for personal use up to a certain amount if desired, and I had the option to use my own car, however I would not be able to claim mileage, maintenance, etc.