File J-51 application. May 1, 2013 The second filing period in 2013 for filing the J-51 tax abatement applications with HPD begins today. Full Article Access: Full access to complete articles from New York Apartment Law Insider is for subscribers only. If you are a subscriber, Log In Now If you are interested in subscribing, Learn More Not yet ready to subscribe? Download a Free Issue Get Free Monthly eAlerts Topics Building Management Calendar Printer-friendly version More like this File J-51 application. File J-51 application. File J-51 application. File J-51 application.