What are the generic conventions and standards for storing and identifying fingerprints out there?
Is there some RFC document for that?
For a small personal research, any related information will be helpful.
AFIS is the name of rhe Automated Fingerprint Identification Service, and NIST is the federal agency responsible for technical standards. Search Google for "site:nist.gov afis" and you'll find this link: http://www.nist.gov/oles/afis_interoperability.cfm
From it, it's evident that law enforcement agencies are still struggling to create interoperable systems, which strongly suggests that specific standards you are looking for are still fairly rudimentary. But it also lists progress that's been made.