N.Y. Real Property Tax Law § 483
7. In the event that land or buildings or structures in agricultural or horticultural use are converted to non-agricultural or non-horticultural use during the period of an exemption granted pursuant to this section, the structures or buildings upon which the exemption was granted shall be subject to roll-back taxes for the period during which the exemption was operative. Structures and buildings subject to roll-back taxes shall be taxed as provided herein.