Flat Affine Ind-Schemes over Ind-Schemes of Ind-Finite Type

Leonid Positselski
Additional contact information
Leonid Positselski: Czech Academy of Sciences, Institute of Mathematics

Chapter Chapter 9 in Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes, 2023, pp 139-156 from Springer

Abstract: Abstract In this chapter, as in Chap. 6 , 𝕜 $$\Bbbk $$ denotes a fixed ground field. Let 𝔛 $${\mathfrak X}$$ be an ind-separated ind-scheme of ind-finite type over 𝕜 $$\Bbbk $$ , and let π : 𝔜 → 𝔛 $$\pi \colon {\boldsymbol {\mathfrak Y}}\longrightarrow {\mathfrak X}$$ be a flat affine morphism of schemes. The aim of this chapter is to describe the semitensor product functor as the composition of the left derived *-restriction and the right derived !-restriction of the external tensor product.

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-37905-5_9

Ordering information: This item can be ordered from
http://www.springer.com/9783031379055

DOI: 10.1007/978-3-031-37905-5_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().