N.Y.C. Admin. Code § 5-452: § 5-452 Notice to file objections; hearing thereon.

a. Upon the filing of the tentative decree, the corporation counsel shall give notice, by advertisement to be published for fifteen days in the City Record, of the filing of such tentative decree, and that the city and all other parties to such proceeding or in any way interested in the real property affected thereby, having any objections thereto, shall file such objections, in writing, duly verified in the manner required by law for the verification of pleadings in an action, and setting forth the real property owned by the objector and his or her post office address, with such clerk within twenty days after the first publication of such notice, and that the corporation counsel, on a date specified in the notice, will apply to the justice who made the tentative decree to fix a time when the justice will hear the parties so objecting. Similar notice for at least ten days shall be given of the filing of any new, supplemental or amended tentative decree and for the filing of objections thereto. Every party so objecting or such party's attorney shall, within the same time, serve on the corporation counsel a copy of such verified objections.

b. Upon such application, the justice shall fix the time when he or she will hear the parties so objecting and desiring to be heard. At the time fixed, the justice shall hear the person or persons who have objected to the tentative decree or to the new, supplemental or amended tentative decree, and who may then and there appear, and shall have the power to adjourn, from time to time, until all parties who have filed objections and who desire to be heard shall have been fully heard.

c. After the filing of the tentative decree or of any new, or supplemental, or amended tentative decree, no award for damages shall be diminished without notice to the owner of the real property affected or the owner's attorney appearing in the proceeding, and an opportunity given for a hearing in regard thereto, before the signing of the final decree.