User Mikhail Bondarko

28 votes

Books you would like to read (if somebody would just write them…)

answered Jan 26, 2011 at 20:25

22 votes

Voevodsky's counterexample to the existence of a motivic t-structure

answered Dec 15, 2011 at 4:40

21 votes

Can there be two continuous real-valued functions such that at least one has rational values for all x?

answered Sep 10, 2010 at 20:17

17 votes

Theorems with unexpected conclusions

answered May 7, 2010 at 18:21

17 votes

Accepted

Voevodsky's Triangulated Categories of Motives and their Relationships

answered Sep 5, 2016 at 14:22

15 votes

Accepted

Is the Hodge Conjecture an $\mathbb{A}^1$-homotopy invariant?

answered Jan 30, 2017 at 13:36

13 votes

Is there an additive functor between abelian categories which isn't exact in the middle?

answered Nov 14, 2010 at 14:13

13 votes

Context for intersection theory

answered Apr 17, 2010 at 17:55

12 votes

Which math paper maximizes the ratio (importance)/(length)?

answered Jan 5, 2010 at 21:07

11 votes

What is "restriction of scalars" for a torus?

answered Dec 5, 2009 at 17:16

11 votes

Accepted

Does the Grothendieck group depend on the embedding?

answered May 3, 2010 at 17:44

10 votes

Understanding the definition of the Lefschetz (pure effective) motive

answered Feb 10, 2010 at 8:34

10 votes

On Grothendieck's idea on his Standard Conjecture B

answered Feb 4, 2015 at 14:19

9 votes

Chain homotopy: Why du+ud and not du+vd?

answered Jan 5, 2010 at 21:25

9 votes

What exactly do the standard conjectures in characteristic zero refer to?

answered Oct 1, 2022 at 8:18

8 votes

Accepted

When does a triangulated category have a heart?

answered Aug 20, 2020 at 11:11

8 votes

Accepted

Motivic L-function vs motivic zeta function

answered Jul 28, 2014 at 5:57

7 votes

Primitive Cohomology Useful?

answered Jan 12, 2013 at 16:19

7 votes

Why do automorphism groups of algebraic varieties have natural algebraic group structure?

answered Dec 14, 2009 at 14:33

7 votes

Examples for which it is not known if Grothendieck's Standard Conjectures hold.

answered Feb 16, 2010 at 14:22

7 votes

A toy example of a tensor triangulated category?

answered Jun 23, 2010 at 7:48

6 votes

Blackbox Theorems

answered Jun 14, 2012 at 10:49

6 votes

Higher Chow groups and singular cohomology theory

answered Sep 20, 2011 at 4:40

5 votes

Accepted

Tensor and Hom objects for finite flat group schemes

answered Apr 13, 2011 at 20:10

5 votes

What is the proper initiation to the theory of motives for a new student of algebraic geometry?

answered Jun 30, 2010 at 20:19

5 votes

Relation between motivic homotopy category and the derived category of motives

answered Jun 30, 2010 at 20:20

5 votes

Computing fundamental groups and singular cohomology of projective varieties

answered Feb 20, 2010 at 10:06

5 votes

Spectrum of the Grothendieck ring of varieties

answered Dec 1, 2009 at 13:49

5 votes

Accepted

Clarification on Hanamura's work on $t$ structure of triangulated category of mixed motives

answered Jun 30, 2017 at 14:34

5 votes

Why would the category of Motives be Tannakian?

answered Jul 11, 2017 at 21:04

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94 Answers

Books you would like to read (if somebody would just write them…)

Voevodsky's counterexample to the existence of a motivic t-structure

Can there be two continuous real-valued functions such that at least one has rational values for all x?

Theorems with unexpected conclusions

Voevodsky's Triangulated Categories of Motives and their Relationships

Is the Hodge Conjecture an $\mathbb{A}^1$-homotopy invariant?

Is there an additive functor between abelian categories which isn't exact in the middle?

Context for intersection theory

Which math paper maximizes the ratio (importance)/(length)?

What is "restriction of scalars" for a torus?

Does the Grothendieck group depend on the embedding?

Understanding the definition of the Lefschetz (pure effective) motive

On Grothendieck's idea on his Standard Conjecture B

Chain homotopy: Why du+ud and not du+vd?

What exactly do the standard conjectures in characteristic zero refer to?

When does a triangulated category have a heart?

Motivic L-function vs motivic zeta function

Primitive Cohomology Useful?

Why do automorphism groups of algebraic varieties have natural algebraic group structure?

Examples for which it is not known if Grothendieck's Standard Conjectures hold.

A toy example of a tensor triangulated category?

Blackbox Theorems

Higher Chow groups and singular cohomology theory

Tensor and Hom objects for finite flat group schemes

What is the proper initiation to the theory of motives for a new student of algebraic geometry?

Relation between motivic homotopy category and the derived category of motives

Computing fundamental groups and singular cohomology of projective varieties

Spectrum of the Grothendieck ring of varieties

Clarification on Hanamura's work on $t$ structure of triangulated category of mixed motives

Why would the category of Motives be Tannakian?