Differential graded scheme
Okay kiddo, let me try to explain what a differential graded scheme is!
Imagine you have a piece of paper with a really complicated drawing on it. You might be able to understand some parts of the drawing, but other parts might be too hard for you. But what if you could break the drawing down into smaller, easier pieces? That's kind of like what happens with a differential graded scheme!
A differential graded scheme is basically a way of breaking down a really complicated shape or set of shapes into smaller, more manageable parts. Each of these parts has something called a "degree", which just means how complicated it is. The simpler parts have a lower degree, and the more complicated parts have a higher degree.
But that's not all! Each of these parts also has something called a "differential", which tells you how to move from one part to another. It's kind of like a map that shows you the way through a maze. The differential tells you which direction to go and how complicated the next part is.
So when we talk about a differential graded scheme, we're really talking about a whole bunch of little shapes that fit together like puzzle pieces. Each piece has a degree and a differential, and they all work together to make up the bigger, more complicated shape.
I hope that helps you understand what a differential graded scheme is! Just remember, it's all about breaking down big things into smaller, more manageable pieces.
Imagine you have a piece of paper with a really complicated drawing on it. You might be able to understand some parts of the drawing, but other parts might be too hard for you. But what if you could break the drawing down into smaller, easier pieces? That's kind of like what happens with a differential graded scheme!
A differential graded scheme is basically a way of breaking down a really complicated shape or set of shapes into smaller, more manageable parts. Each of these parts has something called a "degree", which just means how complicated it is. The simpler parts have a lower degree, and the more complicated parts have a higher degree.
But that's not all! Each of these parts also has something called a "differential", which tells you how to move from one part to another. It's kind of like a map that shows you the way through a maze. The differential tells you which direction to go and how complicated the next part is.
So when we talk about a differential graded scheme, we're really talking about a whole bunch of little shapes that fit together like puzzle pieces. Each piece has a degree and a differential, and they all work together to make up the bigger, more complicated shape.
I hope that helps you understand what a differential graded scheme is! Just remember, it's all about breaking down big things into smaller, more manageable pieces.