Lecture 1：Introduction--motivation, history and the functorial worldview
作者: 卡丘流行
作者简介: R-矩阵是我的人生
描述: Jarod Alper (华盛顿大学) 2021 冬学期 The goal of the course is to establish the following theorem: The moduli space of stable curves of genus g at least 2 is a smooth, proper, and irreducible Deligne-Mumford stack of dimension 3g-3 which admits a projective coarse moduli space. Along the way, we will develop the foundations of algebraic spaces and stacks, and in particular we will precisely define each term in the above theorem.
