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Do we know yet how alliance points will be earned in Imperial City? Also, will Tel Var Stones be able to be stolen from enemy players outside of Imperial City?
Alliance Points will be earned by killing players, the same as in Cyrodiil. We are currently not sure whether the "alliances can capture Imperial Districts" aspect that was teased previously still exists, but if it does, that would likely grant AP as well. However, I believe activities in Imperial City do not contribute to the overall AvA scoreboards or leaderboards.
Tel Var Stones can only be earned and lost inside Imperial City. You won't lose any if you die outside of the city.