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Séminaire de Géométrie Algébrique du Bois Marie - 1966-67 - Théorie des intersections et théorÚme de
Riemann-Roch - (SGA 6) (Lecture notes in mathematics
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is not coherent, working with coherent sheaves has awkwardness (namely the kernel of a finite presentation can fail to be coherent). Because of this,
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Ben-Zvi, David; Francis, John; Nadler, David (2010), "Integral transforms and
Drinfeld centers in derived algebraic geometry",
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478:. If the complex consists only of the zero-th degree term, then it is pseudo-coherent if and only if it is so as a module.
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is a module that is perfect when it is viewed as a complex concentrated at degree zero. For example, if
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Kerz, Moritz; Strunk, Florian; Tamme, Georg (2018). "Algebraic K-theory and descent for blow-ups".
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Roughly speaking, a pseudo-coherent complex may be thought of as a limit of perfect complexes.
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has degree bounded above and consists of finite free modules in degree
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498:(related notion; discussed at SGA 6 Exposé II, Appendix II.)
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119:-modules. They are also precisely the
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517:Ben-Zvi, Francis & Nadler (2010)
82:Perfect complexes are precisely the
786:. You can help Knowledge (XXG) by
414:{\displaystyle {\mathcal {O}}_{X}}
259:{\displaystyle {\mathcal {O}}_{X}}
170:{\displaystyle {\mathcal {O}}_{X}}
134:is often called perfect; see also
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298:of finite type of length
146:When the structure sheaf
659:Inventiones Mathematicae
287:{\displaystyle n\geq 0}
188:By definition, given a
78:Other characterizations
838:Abstract algebra stubs
782:-related article is a
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16:(Redirected from
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179:SGA 6 Expo I
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626:. xii+700.
612:Luc Illusie
515:See, e.g.,
827:Categories
672:1611.08466
503:References
386:A complex
64:Noetherian
565:0805.0157
463:≥
436:→
367:→
361:→
348:→
345:⋯
342:→
334:−
323:→
302:; i.e.,
279:≥
485:See also
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650:0354655
590:2202294
582:2669705
266:-module
130:over a
35:over a
33:modules
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451:where
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701:(PDF)
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