11:07 AM PT -- Law enforcement sources tell us Rocky was taken to LAPD HQ for questioning where he lawyered up ... he'll be officially booked soon.
9:46 AM PT -- Cops say A$AP knew the alleged victim, and the alleged shooting happened after an argument between the two. The LAPD says they worked to corroborate the info the victim told them about the alleged incident, which helped them to identify Rocky as the suspect.
Officers are currently serving a search warrant at Rocky's home in L.A., using a battering ram to get through his front gate.
A$AP Rocky was arrested as he flew into LAX Wednesday morning ... TMZ has confirmed.
Eyewitnesses at the airport tell TMZ the rapper flew in to Los Angeles from Barbados on a private jet, where he was met by cops at the terminal and taken away in handcuffs. We're told he was arrested for assault with a deadly weapon with a gun.
Law enforcement sources tell TMZ the arrest stems from a November 6, 2021 incident, where an alleged victim claimed Rocky shot at them 3 or 4 times -- grazing his left hand -- NBC Newswas first with the info.
TMZ broke the story ... a recent Twitter rumor that the two had split because he cheated was 100% not true -- and evidence that all is good between them was shown in the vacation pics where they're clearly having a great time.