Whether you or the landlord is responsible for maintenance during the winter, you must continue to keep your home running smoothly.  Changing air filters and over hvac service is a must on a regular basis.  Snow removal and ice melting should be done as needed and not left neglected.  Ask your Landlord or Management Company to provide you with a lease and service expectations and work from there.  If you have any questions or need advice with a current lease please feel free to call.