Overview
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 product and other elements of interest for the field
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Table of contents (11 chapters)
Keywords
About this book
Authors and Affiliations
About the author
Positselski is an algebraist specializing in Homological Algebra and homological aspects of various branches of the "algebraic half" of mathematics, including algebraic geometry, representation theory, commutative algebra, and algebraic K-theory. He is known for his work on Koszul algebras and derived Koszul duality, as well as curved DG-rings, coderived and contraderived categories, and contramodules. Positselski penned more than 45 research papers and two survey papers. He is the author of five books and memoirs, including "Quadratic Algebras" (joint with A. Polishchuk, AMS University Lecture Series, 2005), "Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures" (Monografie Matematyczne IMPAN, Birkhäuser Basel, 2010), "Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence" (AMS Memoir, 2011), "Weakly curved A-infinity algebras over a topological local ring" (SMF Memoir, 2018-19), and "Relative nonhomogeneous Koszul duality" (Frontiers in Mathematics, Birkhäuser Switzerland, 2021-22).
Bibliographic Information
Book Title: Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes
Book Subtitle: Quasi-Coherent Torsion Sheaves, the Semiderived Category, and the Semitensor Product
Authors: Leonid Positselski
DOI: https://doi.org/10.1007/978-3-031-37905-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-37904-8Published: 16 September 2023
Softcover ISBN: 978-3-031-37907-9Due: 30 September 2024
eBook ISBN: 978-3-031-37905-5Published: 14 September 2023
Edition Number: 1
Number of Pages: XIX, 216
Topics: Algebraic Geometry, Commutative Rings and Algebras, Category Theory, Homological Algebra