Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes

by Leonid Positselski

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Description

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 , (Birkhäuser, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent