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The geometry of filtrations.
- Source :
-
Bulletin of the London Mathematical Society . Oct2021, Vol. 53 Issue 5, p1486-1499. 14p. - Publication Year :
- 2021
-
Abstract
- We display a symmetric monoidal equivalence between the stable ∞‐category of filtered spectra, and quasi‐coherent sheaves on A1/Gm, the quotient in the setting of spectral algebraic geometry of the flat affine line by the canonical action of the flat multiplicative group scheme. Via a Tannaka duality argument, we identify the underlying spectrum and associated graded functors with pull‐backs of quasi‐coherent sheaves along certain morphisms of stacks. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SPECTRAL geometry
*ALGEBRAIC geometry
*AFFINE geometry
*GEOMETRY
*SHEAF theory
Subjects
Details
- Language :
- English
- ISSN :
- 00246093
- Volume :
- 53
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Bulletin of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 153180799
- Full Text :
- https://doi.org/10.1112/blms.12512