User Mikhail Bondarko

4 votes

Explicit description of Verdier quotient of effective motives

answered Jun 28, 2017 at 6:49

4 votes

Accepted

Motivation for Karoubi envelope/ idempotent completion

answered Feb 28, 2020 at 19:11

4 votes

Functor between categories of motives

answered Nov 30, 2022 at 8:40

4 votes

Why torsion is important in (co)homology ?

answered Apr 26, 2010 at 19:33

4 votes

Applications of homotopy purity theorem of Morel-Voevodsky

answered Feb 8, 2014 at 15:24

4 votes

Etale Realization and Gysin Sequence

answered Dec 4, 2014 at 21:31

4 votes

Number of $\mathbb F_p$ points constant mod $p$?

answered Jun 26, 2015 at 9:09

4 votes

Some questions about the map $K_0(\text{Var})\to K_0(\text{Mot})$

answered Feb 15, 2017 at 7:53

4 votes

Intuition for the Lefschetz motive (Tate motive)?

answered Jul 21, 2016 at 21:27

3 votes

Accepted

Reference - Generalized Hodge conjecture for triangulated motives

answered Jul 17, 2016 at 20:35

3 votes

How to distinguish division algebras from matrix algebras?

answered Mar 5, 2011 at 23:16

3 votes

In which ways can the isogeny theorem fail for local fields?

answered Jan 24, 2011 at 15:53

3 votes

distinguished triangles and cohomology

answered Apr 27, 2010 at 19:55

3 votes

If a colimit of distinguished triangles exists, is it also a distinguished triangle?

answered Aug 8, 2010 at 20:51

3 votes

Grothendieck topologies, Mayer-Vietoris, and points

answered Oct 24, 2010 at 11:45

3 votes

Geometry Vs Arithmetic of schemes

answered Dec 2, 2009 at 17:59

3 votes

difference between equivalence relations on algebraic cycles

answered Feb 10, 2010 at 8:41

3 votes

What is motivic sheaf intuitively?

answered May 21, 2022 at 18:53

3 votes

Finite generation of motivic cohomology of number fields

answered Jul 15, 2022 at 16:51

3 votes

A Naive Question on Mixed Motives and Mixed Hodge Structures

answered May 30, 2017 at 22:07

3 votes

Accepted

Nori's Mixed Motives and Realisation Functors

answered Jul 8, 2017 at 8:40

3 votes

Accepted

When would a left admissible triangulated subcategory be admissible

answered Jan 19 at 6:36

2 votes

Why is the category of motives generated by varieties?

answered Apr 20, 2022 at 7:14

2 votes

Accepted

Spectral sequence in Betti cohomology

answered Mar 12, 2018 at 7:14

2 votes

Accepted

Poincare duality for mixed motives

answered Apr 16, 2018 at 8:32

2 votes

A question about the vanishing of motivic cohomology in negative Tate twist

answered Sep 5, 2018 at 12:44

2 votes

Smoothness of hyperplane sections

answered Mar 1, 2010 at 0:26

2 votes

Accepted

Is there a universal coefficient theorem for motivic cohomology?

answered Feb 19, 2011 at 11:06

2 votes

local class field theory (Norm map)

answered Mar 21, 2011 at 22:26

2 votes

DG enhancements of $\ell$-adic derived categories

answered Jun 4, 2014 at 5:40

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94 Answers

Explicit description of Verdier quotient of effective motives

Motivation for Karoubi envelope/ idempotent completion

Functor between categories of motives

Why torsion is important in (co)homology ?

Applications of homotopy purity theorem of Morel-Voevodsky

Etale Realization and Gysin Sequence

Number of $\mathbb F_p$ points constant mod $p$?

Some questions about the map $K_0(\text{Var})\to K_0(\text{Mot})$

Intuition for the Lefschetz motive (Tate motive)?

Reference - Generalized Hodge conjecture for triangulated motives

How to distinguish division algebras from matrix algebras?

In which ways can the isogeny theorem fail for local fields?

distinguished triangles and cohomology

If a colimit of distinguished triangles exists, is it also a distinguished triangle?

Grothendieck topologies, Mayer-Vietoris, and points

Geometry Vs Arithmetic of schemes

difference between equivalence relations on algebraic cycles

What is motivic sheaf intuitively?

Finite generation of motivic cohomology of number fields

A Naive Question on Mixed Motives and Mixed Hodge Structures

Nori's Mixed Motives and Realisation Functors

When would a left admissible triangulated subcategory be admissible

Why is the category of motives generated by varieties?

Spectral sequence in Betti cohomology

Poincare duality for mixed motives

A question about the vanishing of motivic cohomology in negative Tate twist

Smoothness of hyperplane sections

Is there a universal coefficient theorem for motivic cohomology?

local class field theory (Norm map)

DG enhancements of $\ell$-adic derived categories