This blog aim to give some remarks and complete some details in this book (Kollar and Mori’s Birational Geometry of Algebraic Varieties). I will read first five chapters of this book. This is the first blog from chapter 1 to chapter 2.
This is my plan of the reading program of birational geometry for the beginner of this area! Aiming to read the basic aspect in the birational geometry, both lower dimensional ($\dim X=2$) and higher dimensional ($\dim X\geq 3$) in algebraic geometry.
This is one of a series of blogs aiming to complete some details of the examples in this book (Intersection Theory, 2nd edition by William Fulton1) and give some comments. This blog we consider chapter 7 to chapter 9. [FulIT2nd] William Fulton. Intersection Theory, 2nd. Springer New York, NY. 1998. ↩
This is one of a series of blogs aiming to complete some details of the examples in this book (Intersection Theory, 2nd edition by William Fulton1) and give some comments. This blog we consider chapter 1 to chapter 6. [FulIT2nd] William Fulton. Intersection Theory, 2nd. Springer New York, NY. 1998. ↩
In this blog, we will introduce some basic fact about GAGA-principle. Actually I only vaguely knew that this is a correspondence between analytic geometry and algebraic geometry over $\mathbb{C}$ before. So as we may use GAGA frequently, we will summarize in this blog to facilitate learning and use.
山穷水复疑无路，柳暗花明又一村。——记我的2022