She has said that she wants her character's film arc to mirror the original comic storyline.
"[Fans ask] about whether or not the films are going to stay true to her story," Stone told Cameron Crowe in a feature for Interview. "Which I'm hoping they are.
"Essentially the argument is that Spider-Man kills her by accident. So the person she loves is the person who kills her, which is the most horrifying thing. Apparently people unsubscribed to the comic book when that happened because they were just so flipped-out over it.
"But, of course, I want to stay true to that."
Peter Parker's girlfriend Stacy famously died in Amazing Spider-Man #121 in 1973, ten years after the debut of the wall-crawling superhero.
Stone and co-star Andrew Garfield are thought to be tied in to deliver a trilogy for the Marvel Comics franchise.
The actress has been rumoured to be appearing in Crowe's next project, Deep Tiki.
Watch a trailer for The Amazing Spider-Man below: