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user2520938
  • Member for 9 years, 3 months
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33 votes
3 answers
3k views

No matter how many algebraic invariants we attach to topological spaces, there will always be nonhomeomorphic spaces agreeing on all their invariants

16 votes
1 answer
667 views

Is the Chow ring of a wonderful model for a hyperplane arrangement isomorphic to the singular cohomology ring?

13 votes
2 answers
960 views

Relation between mirror symmetry, homological mirror symmetry, and SYZ conjecture

11 votes
3 answers
921 views

What does it mean that $[X]+[Y]=0$ in the Grothendieck ring of varieties?

11 votes
2 answers
1k views

How to define jet bundles algebraically?

9 votes
1 answer
291 views

Is $\mathbb{C}^n\setminus V(f)$ homotopy equivalent with a "large ball complement"?

8 votes
3 answers
485 views

Jones' theorem for non-simply-connected spaces?

7 votes
1 answer
552 views

Homotopy type of continuous/smooth/analytic loop spaces?

6 votes
1 answer
451 views

Detecting affine varieties in the Grothendieck ring

5 votes
1 answer
218 views

Is there a way to describe the image of the $n$-fold residue map from $H^0(Y,\Omega_Y^n(\log E))$?

5 votes
1 answer
302 views

Operations on perverse sheaves on disk

5 votes
1 answer
2k views

Definition of the Bergman fan

4 votes
0 answers
366 views

Equivalence of cohomology for local systems

4 votes
1 answer
397 views

Bernstein's theorem

4 votes
1 answer
182 views

Locus of global sections with positive dimensional zero locus is Zariski closed?

4 votes
0 answers
68 views

Is there some nice "Nakayama-like" method to test whether a holonomic D module is 0?

4 votes
2 answers
897 views

Algorithm to decide whether two quotient rings are isomorphic?

4 votes
0 answers
158 views

How to define a "truncated solution complex" $RHom_{D_{X,x}}(M_x,\mathcal{O}_{X,x}/\mathfrak{m}_x^k)$?

4 votes
0 answers
265 views

Does local system cohomology come equiped with a mixed hodge structure?

4 votes
2 answers
324 views

Cycle class of zeroes of a global section

4 votes
0 answers
104 views

Compute the closure of graph of function from complement of hypersurface in $\mathbb{A}^n$

4 votes
0 answers
138 views

Computing mixed hodge structure using different extension of the constant sheaf

4 votes
0 answers
143 views

Cyclic sets are to $S^1$-spaces as ? are to $G$-spaces?

3 votes
1 answer
195 views

Is it possible that $\int |f^2(z)|^{t+1}(P\bar{P})\phi(z) dz=0$ for all compactly supported $\phi$?

3 votes
1 answer
310 views

Can anything be said about the cohomology class defined by a section of a vector bundle if it is not of the expected dimension?

3 votes
0 answers
135 views

"higher" micro-support

3 votes
0 answers
176 views

Looking for an elementary proof of the fact that a bijective morphism of smooth varieties is an isomorphism

3 votes
0 answers
195 views

Reference on Poincaré residue in higher dimension and for poles of order $>1$

3 votes
1 answer
150 views

Explicit computation of D-modules pullback

3 votes
1 answer
196 views

How does the MHS on $H_Y^i(X)$ behave with respect to the Thom isomorphism?