Ind-Schemes and Their Morphisms

Leonid Positselski
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Leonid Positselski: Czech Academy of Sciences, Institute of Mathematics

Chapter Chapter 1 in Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes, 2023, pp 1-9 from Springer

Abstract: Abstract In this chapter we present a discussion of the foundations of the theory of ind-schemes emphasizing relations and compatibilities between various definitions. For example, we explain that any ind-scheme which can be represented (1) By a direct system of closed immersions of concentrated schemes and (2) By a direct system of affine schemes can also be represented by a direct system of closed immersions of affine schemes.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-37905-5_1

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DOI: 10.1007/978-3-031-37905-5_1

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