This is for students who are thinking about doing an undergraduate research program with me.
Some reading materials:
Classical books
1. “Introduction to Algebraic Curves” (Griffiths)
One can get flavours of algebraic geometry by reading this small book, which doesn’t require too much background. There is a Chinese version.
2. “Singular points of complex hypersurfaces” (Milnor)
It’s on complex geometry and has a nice geometric style.
3. “Introduction to commutative algebra” (Atiyah & Macdonald)
This gives a necessary commutative algebraic background for any further reading on algebraic geometry.
4. “Basic Algebraic Geometry I” (Shafarevich)
The first volume doesn’t need too much abstract machinery. It’s a good starting point for a long journey.
More modern Stuff
Kollár’s articles 1 and 2 about basic structure theory of algebraic varieties.