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# Questions

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### Any algebraic substitute for Morse theory (and homology) in arbitrary characteristic?

oct 10 at 11:42 Donu Arapura 13.7k12863

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### ‘Important’ applications of p-adic numbers outside of algebra (and number theory).

dec 27 11 at 18:01 Sean Tilson 2,362924

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### What is the purpose of section 3 of BBD?

apr 12 at 2:12 S. Carnahan 25.6k4190

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### Can there exist Chow motives/motivic cohomology for compact Kähler manifolds?

nov 3 at 19:19 Mikhail Bondarko 5,8761421

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### Motivic cohomology vs. K-theory for singular varieties

sep 23 at 18:16 Thomas Geisser 47145

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### Bad behaviour of perverse sheaves over ‘general’ bases?

oct 30 11 at 23:37 Alex 1,32466

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### Derived categories of (coherent) sheaves of modules: exceptional images, gluing, and proper descent?

may 28 11 at 9:05 Chris Brav 1,20939

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### Are two conjectural descriptions of the motivic t-structure (via cohomology and via affine varieties) known to be equivalent?

jan 27 11 at 17:08 Alex 1,32466

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### Does a triangulated category that possesses a subcategory $B$ of generators with no extensions of non-zero degree between them have to be isomorphic to $K^b(B)$?

feb 6 11 at 19:35 Fernando Muro 5,1691915

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