One reason could be Percy's constant danger - attracting monsters and putting Annabeth in harm's way too often. In fanfiction, authors might explore how this constant stress could lead to a breakdown in their relationship.
In fanfiction, they might break up because of outside pressure. For example, if the gods or some powerful force tries to keep them apart for some reason. However, their strong bond and shared memories would eventually lead to their make - up. Their adventures together, like the time they spent in Tartarus, are so significant that they can't stay apart for long.
Perhaps Percy realizes that their relationship has become too codependent. He might feel like he's losing his own identity within the relationship. He could also break up with Annabeth if he discovers some long - hidden secrets about her past that he can't come to terms with, like if there were things she did in the past for survival during a quest that go against his moral code.
One possible reason could be differences in their long - term goals. Maybe Annabeth is more focused on her architectural dreams and wants to study in a far - off place, while Percy is more tied to the demigod world in Camp Half - Blood. Another reason might be jealousy. If Percy spends too much time with other demigods, especially female ones, Annabeth could feel left out and insecure, leading to the break - up.
Perhaps jealousy plays a part. If Percy got a bit too friendly with another character, Annabeth might get jealous and they fight. However, they soon remember their strong bond and how much they mean to each other, so they make up. It's a common trope in fanfiction as it shows the depth of their relationship.
In some fanfictions, Annabeth could abandon Percy because of a prophecy. If the prophecy seems to imply that being with Percy will lead to a great disaster, she might choose to leave to protect him or the world. Also, it could be due to a personal growth arc for Annabeth. She may realize that she has been too dependent on Percy in the past and decides to go off on her own to find her true self, leaving Percy behind.
One possible reason could be a misunderstanding. Maybe Percy did something that Annabeth misinterpreted, like being overly friendly with another character which made her jealous and led to her rejection.
One reason could be a shift in the plot where Annabeth's character development leads her to realize she and Percy are not compatible in the way they were initially thought. Maybe she has new goals or a different understanding of herself that makes her feel she's better off without Percy in the fanfiction world.
One possible reason could be Percy's recklessness. He often jumps into dangerous situations without thinking fully, and Annabeth, being the more strategic one, might get frustrated and yell at him. For example, if Percy decides to face a powerful monster alone just to prove himself, Annabeth would be worried and angry at his lack of caution.
Maybe Percy has shown some uncontrollable power that scares Annabeth.
One reason could be stress. Maybe they are in a really tough situation in the fanfiction, like facing a powerful enemy. Annabeth, being under a lot of pressure, snaps at Percy if she thinks he's not taking things seriously enough. Another possibility is jealousy. If Percy gets a lot of attention from someone else, Annabeth might snap out of insecurity.