Stacks Project Expository Collection
暫譯: 堆疊專案說明集
Belmans, Pieter, Ho, Wei, de Jong, Aise Johan
- 出版商: Cambridge
- 出版日期: 2022-10-27
- 售價: $4,560
- 貴賓價: 9.5 折 $4,332
- 語言: 英文
- 頁數: 250
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1009054856
- ISBN-13: 9781009054850
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商品描述
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne-Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
商品描述(中文翻譯)
《Stacks Project Expository Collection (SPEC)》匯編了高級代數幾何的說明性文章,旨在幫助研究生和研究人員了解代數空間和代數堆疊幾何的最新發展。文本中的文章以現代語言明確表達了許多在文獻中先前僅以隱含、不完整或古典術語表達的結果、證明和例子。在適用的情況下,這是通過明確參考 Stacks Project 來獲得初步結果。主題包括代數幾何中重要的模問題的構造和性質(例如,曲線的 Deligne-Mumford 壓縮、Picard 函子,或半穩定向量束和層的模),以及對域和代數空間的算術問題。