| 書(shū)目名稱 | Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes | | 副標(biāo)題 | Quasi-Coherent Torsi | | 編輯 | Leonid Positselski | | 視頻video | http://file.papertrans.cn/865/864787/864787.mp4 | | 概述 | First monograph on quasi-coherent torsion sheaves on ind-schemes.Introduces novel algebraic structures which will play an important role in algebraic geometry to come.Explores the semi-infinite tensor | | 圖書(shū)封面 |  | | 描述 | Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled?.Homological Algebra of Semimodules and Semicontramodules., (Birkh?user, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category.? The author offers two equivalent constructions of the semitensorproduct, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to | | 出版日期 | Book 2023 | | 關(guān)鍵詞 | Algebraic Geometry; Semiderived Category; Ind-schemes; Commutative Rings; Torsion Sheaves | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-37905-5 | | isbn_softcover | 978-3-031-37907-9 | | isbn_ebook | 978-3-031-37905-5 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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