***MAJOR SPOILER***
At the end of Gattaca, Jerome Eugene Morrow committed suicide. He managed to climb into the furnace where Vincent Freedman had burned his (Vincent's) cells and turned it on, thus killing himself and destroying all evidence that there was more than one Jerome Morrow.
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He refers to Anton Sr. who is Vincents father.When he finds out his first son (Vincent) have a 99% of heart disorder and has 30 years life expectancy, his father regrets that he did not take advantage of the technology (picking superior genes of the parents for the baby) to make is son "more perfect". Therefore, he does not think his disordered baby (Vincent) is worthy of his name, Anton.When they (Anton Sr. and Vincent's Mother) have a second baby and they actually use the technology to make the second son (Anton Jr.) "more perfect", they then name him Anton because that is the "best" genes of the family in their son. They also think that Anton will be more successful so they give him "the superior name".
Eugene
Vincent is considered an in-valid. Jerome is a valid. Vincent needed Jerome's genes to work at Gattaca.
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Vincent and Anton love playing Chicken, the game where they both swim from shore far out to sea. The first to get scared and swim back would be the loser. Anton always won because Vincent's born an in-Valid, but the last two games they played, Vincent beated Anton because Vincent didn't save any energy left for the swim back. When Anton drowns, Vincent saves him and swims back to shore.