Alvaro scored thanks to a strong individual effort and put a right-footed shot into the lower left of the net.
Goals also came from a right-footed shot by Pizzi in the 12th minute, a right-footed shot by Diego Castro in the 25th minute and a right-footed shot by Adrian Colunga in the 84th minute.
Azulones's Miguel Angel Moya was given a red card in the 10th minute, while Deportivo de La Coruña's Abel Aguilar received one in the 70th.
Getafe are in 11th place, and in striking distance of Rayo Vallecano in sixth with a record of eight wins, nine losses and five draws leaving them five behind after 22 games.
After 22 games Deportivo de La Coruña are currently in the relegation zone, four points behind 16th-place Osasuna with a record of three wins, 12 losses and seven draws.
Getafe had 33.3% of possession.
Geta had nine shots, including four on goal.
Álvaro made the biggest impact of any Getafe substitute after coming on for Borja in the 77th minute, as he scored one goal.
The five attempts by Colunga were the most of any Getafe player.Deportivo de La Coruña managed to dominate the possession game, and maintained control of the ball for 66.7% of the match.
Deportivo de La Coruña's players linked up for 379 passes and 27 crosses.
André Santos made his mark on the match for Deportivo de La Coruña after coming on for Bruno Gama in the 73rd minute, as he took two shots.Riki had five shots for Deportivo de La Coruña, more than any of his team-mates.
Manuel Pablo's 14 passes to Kaká were the most between any Deportivo de La Coruña team-mates during the match.