Federal Aviation Regulations (FARs) are the rules that govern aviation activities. The FARs outline the FAA requirements for skydivers, pilots and parachute riggers and are available for convenience in the Skydiver's Information Manual, Section 9: FAA Documents (PDF).
Part 61—Certification: Pilots, Flight Instructors and Ground Instructors
This section establishes the qualifications and requirements for certificates and ratings, along with the privileges and limitations.
Part 65—Certification: Airmen other than Flight Crewmembers
Parachute riggers receive certification through this regulation.
Part 91—General Operating and Flight Rules
Flight operations for skydiving operations are conducted under Part 91.
Part 105—Parachute Operations
This section prescribes the rules governing parachute operations.
Part 119—Certification: Air Carriers and Commercial Operators
This section covers requirements for certification and operation of commercial operators; Section 119.1(e)(6) exempts parachute operations when flown within 25 miles of the airport.