In a recent local election in New York, turnout was as low as 11% in some districts:
Usually, Council elections are held every four years. But once every two decades — thanks to the way the calendar falls during the redistricting process — there’s an off-cycle election for a two-year term. Such was the case this year.
As of 11 p.m., New York City had counted about 557,000 ballots, according to unofficial results listed on the state Board of Elections’ website. That works out to about 11% of the 5.1 million total registered voters in the city.
In theory, if all the local Republicans mobilized themselves for this election they could've easily grabbed all the elected positions. Even in the Bronx 20% of the electorate voted for Donald Trump, so in theory the numbers were there for a huge electoral upset.
Are there examples of this happening in practice where a minority party used the low turnout to stage a huge upset? I'm looking for examples where a strategic campaign specifically asked minority party voters to show up, citing prior low turnout as the reason why they might end up winning.