The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P. Deligne, D. Mumford, and M. Artin. The language of algebraic stacks has been used repeatedly since then, mostly in connection with moduli problems: the increasing demand for an accurate description of moduli "spaces" came from various areas of mathematics and mathematical physics. Unfortunately the basic results on algebraic stacks were scattered in the literature and sometimes stated without proofs. The aim of this book is to fill this reference gap by providing mathematicians with the first systematic account of the general theory of (quasiseparated) algebraic stacks over an arbitrary base scheme. It covers the basic definitions and constructions, techniques for extending scheme-theoretic notions to stacks, Artin's representability theorems, but also new topics such as the "lisse-étale" topology.
發表於2024-11-05
Champs algébriques 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 代數幾何7 代數幾何 Algebraic_Geometry
粗粗看一遍瞭事
評分這本書我沒讀下去。實質性的錯誤太多,沒法繼續,除非你讀的是神學。我們有人問過第二作者,他說錯誤太多,懶得改瞭。
評分這本書我沒讀下去。實質性的錯誤太多,沒法繼續,除非你讀的是神學。我們有人問過第二作者,他說錯誤太多,懶得改瞭。
評分粗粗看一遍瞭事
評分粗粗看一遍瞭事
Champs algébriques 2024 pdf epub mobi 電子書 下載