User 54321user

23 votes

2 answers

2k views

What are examples of D-modules that I should have in mind while learning the theory?

asked Aug 3, 2016 at 17:53

17 votes

2 answers

1k views

What is the motivation behind the characteristic variety of a D-module and what does it's geometry tell me about the D-module?

asked Sep 7, 2016 at 23:17

16 votes

1 answer

2k views

Where am I suppose to actually learn how to compute hypercohomology?

asked Jul 12, 2016 at 20:11

10 votes

1 answer

628 views

Is the $E_\infty$-structure on the cochain complex of a $K(G,n)$ readily understandable?

asked Sep 7, 2017 at 21:48

9 votes

2 answers

825 views

What is integration along the fibers in D-module theory?

asked Oct 6, 2016 at 18:33

8 votes

1 answer

690 views

Does an oriented $S^3$ fiber bundle admit the structure of a principal $SU(2)$-bundle?

asked Sep 29, 2017 at 8:31

7 votes

2 answers

805 views

What are some applications of virtual vector bundles?

asked Jun 20, 2017 at 5:35

7 votes

1 answer

486 views

How can I construct D-modules over projective space using explicit differential equations?

asked Jan 2, 2017 at 17:37

7 votes

0 answers

279 views

Is there a derived geometric interpretation of morse functions?

asked Aug 3, 2016 at 3:42

6 votes

1 answer

756 views

What tools can I use to compute the cohomology of the fibers of a Lefschetz Pencil?

asked Aug 13, 2016 at 23:02

4 votes

0 answers

343 views

Does hypercohomology of the Koszul complex compute sheaf cohomology?

asked Jun 7, 2017 at 20:11

4 votes

0 answers

234 views

Is there an analogue to the koszul complex for constructible sheaves?

asked Jul 6, 2017 at 2:46

4 votes

1 answer

264 views

Are there algorithmic tools for computing poincare residues?

asked Jul 22, 2017 at 23:48

4 votes

0 answers

200 views

How can I describe the monodromy of this variation of singular curves?

asked Sep 8, 2017 at 0:22

3 votes

1 answer

673 views

Can comma categories of small categories be understood as limits/colimits in $\textbf{Cat}$?

asked Dec 23, 2016 at 23:16

3 votes

1 answer

171 views

How can I determine the monodromy of this variation of mixed hodge structures?

asked Aug 9, 2017 at 20:26

3 votes

0 answers

234 views

How can I find the differential in the Serre spectral sequence for this sphere fibration?

asked Aug 12, 2017 at 19:08

3 votes

1 answer

285 views

Is there a notion of injective, projective, flat, dimension for a differential graded algebra?

asked Sep 3, 2017 at 23:23

3 votes

0 answers

274 views

Is there a spectral sequence for borel-moore homology associated to a whitney filtration?

asked Sep 3, 2016 at 22:07

3 votes

0 answers

433 views

Where should I look for computing the intersection homology of projective varieties?

asked Jul 21, 2016 at 20:18

2 votes

0 answers

220 views

What techniques are available for constructing D-modules over smooth projective varieties?

asked Jul 25, 2016 at 0:02

2 votes

1 answer

328 views

Where can I find a proof of identity of $H^1(X,T_X)$ and a quotient by the jacobian?

asked Aug 7, 2016 at 22:23

2 votes

1 answer

186 views

What is a non-example of and $(\infty,1)$-topos where disjointness fails?

asked Oct 20, 2016 at 1:10

2 votes

0 answers

227 views

What is the motivation behind the definition for a smooth differential graded category?

asked Sep 29, 2016 at 23:07

2 votes

1 answer

183 views

How can I compute the mixed hodge structure for three copies of $\mathbb{P}^1$ intersecting at one point?

asked Aug 8, 2017 at 21:09

0 votes

0 answers

150 views

Does the $\infty$-groupoid functor $\Pi$ commute with pushouts of nice spaces?

asked Dec 23, 2016 at 22:23

0 votes

1 answer

329 views

How can I show flatness for projective morphisms?

asked Aug 17, 2016 at 21:23

-1 votes

1 answer

479 views

How do I find the algebra representing the projective bundle of a direct sum of line bundles over a projective space?

asked Feb 13, 2017 at 0:25

Stack Exchange Network

28 Questions

What are examples of D-modules that I should have in mind while learning the theory?

What is the motivation behind the characteristic variety of a D-module and what does it's geometry tell me about the D-module?

Where am I suppose to actually learn how to compute hypercohomology?

Is the $E_\infty$-structure on the cochain complex of a $K(G,n)$ readily understandable?

What is integration along the fibers in D-module theory?

Does an oriented $S^3$ fiber bundle admit the structure of a principal $SU(2)$-bundle?

What are some applications of virtual vector bundles?

How can I construct D-modules over projective space using explicit differential equations?

Is there a derived geometric interpretation of morse functions?

What tools can I use to compute the cohomology of the fibers of a Lefschetz Pencil?

Does hypercohomology of the Koszul complex compute sheaf cohomology?

Is there an analogue to the koszul complex for constructible sheaves?

Are there algorithmic tools for computing poincare residues?

How can I describe the monodromy of this variation of singular curves?

Can comma categories of small categories be understood as limits/colimits in $\textbf{Cat}$?

How can I determine the monodromy of this variation of mixed hodge structures?

How can I find the differential in the Serre spectral sequence for this sphere fibration?

Is there a notion of injective, projective, flat, dimension for a differential graded algebra?

Is there a spectral sequence for borel-moore homology associated to a whitney filtration?

Where should I look for computing the intersection homology of projective varieties?

What techniques are available for constructing D-modules over smooth projective varieties?

Where can I find a proof of identity of $H^1(X,T_X)$ and a quotient by the jacobian?

What is a non-example of and $(\infty,1)$-topos where disjointness fails?

What is the motivation behind the definition for a smooth differential graded category?

How can I compute the mixed hodge structure for three copies of $\mathbb{P}^1$ intersecting at one point?

Does the $\infty$-groupoid functor $\Pi$ commute with pushouts of nice spaces?

How can I show flatness for projective morphisms?

How do I find the algebra representing the projective bundle of a direct sum of line bundles over a projective space?