Fame?
What is fame? For some it is public adulation, for others it is wide spread recognition, for others it is a quick rise to some form of success. For these definitions there can be many astrological indicators -- Moon in the 10th, progressed Venus contacting the Sun, mid-point combinations of Jupiter-Pluto-MC. Politicians have won elections with Saturn in the 10th -- this is very common -- while others win with transiting Jupiter trining the natal Sun.
For "fame" it is more a "re-expression" of the chart's primary features relative to the type of activity and program that is being followed. If the chart has a focus or potential that would or could bring fame, then the progressing-transiting-cyclic chart factors that emphasize and support that potential will be the indicators of achieving fame. Dave.
PS -- note that fame is a choice or a goal. Death is really much more common and probably cannot be equated to fame in terms of specific indicators.