User Mikhail Bondarko

5 votes

1 answer

195 views

What is the most general notion of exactness for functors between triangulated categories?

asked Jun 21 at 10:11

5 votes

1 answer

406 views

Which $p$-adic valuations of Weil numbers (that is, eigenvalues of Frobenius) are possible?

asked Apr 3, 2020 at 20:55

5 votes

0 answers

192 views

Which t-structure extend from subcategories of compact objects uniquely?

asked Feb 15, 2021 at 17:35

5 votes

1 answer

360 views

Which abelian categories possess an exact faithful functor into abelian groups that respects products?

asked Nov 20, 2020 at 13:07

5 votes

0 answers

176 views

Can a Chow motif be isomorphic to its own direct summand?

asked Sep 5, 2021 at 17:11

5 votes

1 answer

380 views

Which complexes of coherent sheaves can be presented as countable homotopy limits of perfect complexes?

asked Feb 8, 2022 at 7:36

5 votes

1 answer

856 views

Extension-closed subcategories of triangulated categories as "almost exact" categories

asked Jun 10, 2015 at 9:25

5 votes

0 answers

225 views

Can triangulated categories be "approximated by countable subcategories" (that are triangulated but not full!)?

asked Jun 28, 2015 at 8:35

5 votes

2 answers

798 views

How should one call and use categories that are not locally small?

asked Oct 28, 2016 at 10:07

5 votes

1 answer

370 views

Which triangulated categories are subcategories of compact objects "somewhere"?

asked Nov 23, 2016 at 18:19

5 votes

2 answers

1k views

On various relations between "additional axioms" for AB4 and Grothendieck abelian categories

asked Nov 26, 2016 at 21:19

5 votes

0 answers

521 views

Spectral sequences coming from filtrations (Postnikov systems) in triangulated categories: references and convergence

asked Mar 10, 2017 at 19:54

5 votes

1 answer

317 views

Expression of morphisms in motivic homotopy categories in terms of Nisnevich cohomology?

asked Apr 1, 2017 at 17:22

5 votes

0 answers

108 views

On finite quotients of unions of $n$ affine varieties

asked Oct 12, 2015 at 7:00

5 votes

0 answers

321 views

Do differential objects form triangulated categories?

asked Dec 12, 2015 at 13:42

4 votes

1 answer

501 views

Does the (singular)cohomology of any acyclic spectrum vanish?

asked Sep 12, 2015 at 18:11

4 votes

0 answers

316 views

On "topological" Hopf map eta and its relation to the motivic one

asked Jun 25, 2017 at 18:21

4 votes

0 answers

171 views

Which models are available for the motivic homotopy category $SH^{S^1}(k)$

asked Jul 17, 2017 at 18:12

4 votes

0 answers

162 views

When there exists some "cone" of a morphism of (ind-representable) cohomological functors?

asked Jun 27, 2015 at 20:02

4 votes

1 answer

502 views

Motivic integration in positive characteristic: how much is known?

asked Mar 5, 2015 at 15:27

4 votes

1 answer

235 views

Which valuations of a field yield codimension $1$ subschemes of their 'models'

asked Jul 25, 2014 at 13:07

4 votes

0 answers

359 views

Hodge modules and Deligne-Beilinson cohomology of function fields

asked Jul 27, 2014 at 7:39

4 votes

0 answers

218 views

The 'most general' papers on rational Borel-Moore motivic homology and K'-theory?

asked Aug 10, 2014 at 21:58

4 votes

0 answers

326 views

Which derived categories of coherent sheaves are equivalent (or "$t$-related") to derived categories of rings?

asked Dec 17, 2020 at 16:42

4 votes

0 answers

137 views

Bounded derived categories of which smooth projectives possess bounded t-structures whose hearts have enough injectives?

asked Feb 10, 2021 at 21:04

4 votes

0 answers

113 views

How can one characterize categories of exact functors?

asked Apr 8, 2021 at 7:35

4 votes

2 answers

459 views

Are Chow groups invariant under universal homeomorphisms?

asked Jun 19, 2020 at 8:21

4 votes

0 answers

119 views

Are there any explicit (prime-to-l) alterations for interesting varieties (or schemes)?

asked Feb 7, 2020 at 13:39

4 votes

2 answers

352 views

Are hearts of all $t$-structures on smashing triangulated categories closed with respect to coproducts (also)?

asked Jul 24, 2019 at 8:38

4 votes

1 answer

470 views

On definitions and explicit examples of pure-injective modules

asked Mar 21, 2019 at 10:08

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274 Questions

What is the most general notion of exactness for functors between triangulated categories?

Which $p$-adic valuations of Weil numbers (that is, eigenvalues of Frobenius) are possible?

Which t-structure extend from subcategories of compact objects uniquely?

Which abelian categories possess an exact faithful functor into abelian groups that respects products?

Can a Chow motif be isomorphic to its own direct summand?

Which complexes of coherent sheaves can be presented as countable homotopy limits of perfect complexes?

Extension-closed subcategories of triangulated categories as "almost exact" categories

Can triangulated categories be "approximated by countable subcategories" (that are triangulated but not full!)?

How should one call and use categories that are not locally small?

Which triangulated categories are subcategories of compact objects "somewhere"?

On various relations between "additional axioms" for AB4 and Grothendieck abelian categories

Spectral sequences coming from filtrations (Postnikov systems) in triangulated categories: references and convergence

Expression of morphisms in motivic homotopy categories in terms of Nisnevich cohomology?

On finite quotients of unions of $n$ affine varieties

Do differential objects form triangulated categories?

Does the (singular)cohomology of any acyclic spectrum vanish?

On "topological" Hopf map eta and its relation to the motivic one

Which models are available for the motivic homotopy category $SH^{S^1}(k)$

When there exists some "cone" of a morphism of (ind-representable) cohomological functors?

Motivic integration in positive characteristic: how much is known?

Which valuations of a field yield codimension $1$ subschemes of their 'models'

Hodge modules and Deligne-Beilinson cohomology of function fields

The 'most general' papers on rational Borel-Moore motivic homology and K'-theory?

Which derived categories of coherent sheaves are equivalent (or "$t$-related") to derived categories of rings?

Bounded derived categories of which smooth projectives possess bounded t-structures whose hearts have enough injectives?

How can one characterize categories of exact functors?

Are Chow groups invariant under universal homeomorphisms?

Are there any explicit (prime-to-l) alterations for interesting varieties (or schemes)?

Are hearts of all $t$-structures on smashing triangulated categories closed with respect to coproducts (also)?

On definitions and explicit examples of pure-injective modules