To me, Death Note follows the villian's tale. Yes, Light is a villain, don't fool yourself into thinking otherwise. L was more of the personification of justice than Light could ever hope to be. Creating a world where you kill people for wrong doings? That's not a perfect world! That's a world where people are afraid to act out in the slightest because *Kira might kill them*! I'm sorry, but blood for blood is not justice. It's not. So when Light died the way he did, I did not feel sorry for him. In fact, I saw it coming. I've seen it based on history and other stories of people like him. I didn't pity him when it happened, either. For every person he killed so coldly, he deserved what he had coming. I'm not wishing death on him, as I would never sincerely wish death on anyone, but I knew he would have to face the things he's done. Our world might not be perfect, but his idea of utopia was a joke.
Yeah that's... kinda the whole point. People who think Light is the hero are either idiots or sociopaths. But what's wrong with following the story from the villain's point of view? It worked for Shakespeare, and it allows the audience to understand his psyche and motivations, which can be pretty interesting.
EDIT:
As an interesting side note, before there was the main manga there was a DeathNote one-shot where exactly that happened. And it was only a few chapters.But the manga would only be a few chapters then ;P.
