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33 votes

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

at.algebraic-topology asked Mar 23, 2016 at 8:58
mathoverflow.net

19 votes

Is every prime the average of two other primes?

elementary-number-theory prime-numbers additive-combinatorics asked Jun 21, 2014 at 7:36
math.stackexchange.com

18 votes

What's so useful about diagonalizing a matrix?

linear-algebra diagonalization asked May 15, 2015 at 9:31
math.stackexchange.com

16 votes

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

ag.algebraic-geometry toric-varieties asked Aug 31, 2017 at 10:18
mathoverflow.net

15 votes

How could the Collatz conjecture possibly be undecidable?

collatz decidability asked Feb 19, 2015 at 13:13
math.stackexchange.com

14 votes

Why only consider Dolbeault cohomology?

complex-geometry sheaf-cohomology asked Apr 22, 2016 at 20:27
math.stackexchange.com

14 votes

How exactly does $\frac{\partial f}{\partial \bar{z}}$ work?

complex-analysis asked May 5, 2015 at 19:24
math.stackexchange.com

13 votes

Identification of the holomorphic tangent space with the real tangent space

complex-geometry tangent-spaces complex-manifolds almost-complex asked Jun 5, 2016 at 11:15
math.stackexchange.com

11 votes

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

ag.algebraic-geometry grothendieck-rings asked Apr 13, 2017 at 10:59
mathoverflow.net

11 votes

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

complex-geometry sg.symplectic-geometry mirror-symmetry asked Dec 9, 2018 at 1:32
mathoverflow.net

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