Born into Brothels: Calcutta's Red Light Kids is a 2004 Indian-American documentary film about the children of prostitutes in Sonagachi, Kolkata's red light district. The widely acclaimed film, written and directed by Zana Briski and Ross Kauffman, won a string of accolades including the Academy Award for Best Documentary Feature in 2004.
The documentary "Calcutta's Red Light Kids" won an oscar the year after 2003
in the context: "accolades including the Academy Award for Best Documentary Feature in 2004."                                                              So the documentary won an Academy Award (oscar),  in 2004 ( the year after 2003)                                                                                     Therefore the statement : "The documentary "Calcutta's Red Light Kids" won an oscar the year after 2003"                                                                Is Definitely Correct