从某种角度上来说,这两者的关系有点儿像hilbert空间和banach空间的关系。 finsler geometry是riemann geometry的自然推广。 它推广的是riemann geometry定义曲线长度,也就是定义距离的方. Lurie工作的实质是对homotopical algebraic geometry与stable homotopy theory引入无穷范畴的新语言,使这两个分支的经典理论得到推广,并在homotopical algebraic geometry中引入e∞ rings theory. 听同学说过几本1 harder 写的两本lectures on algebraic geometry i:
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