N.Y. Real Property Tax Law § 496
2. An application to renounce an exemption shall be made on a form prescribed by the commissioner and shall be filed with the county director of real property tax services no later than ten years after the levy of taxes upon the assessment roll on which the renounced exemption appears. The county director, after consulting with the assessor as appropriate, shall compute the total amount owed on account of the renounced exemption as follows: