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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

5 votes

Fixed space of the square of a symmetric matrix over $\mathbb{F}_2$

As Geoff Robinson has already said, the answer to the question is no. In dimension $4$, there are in total $120$ counterexamples, of which $96$ have kernel of dimension $1$, and $24$ have kernel of di …
Stefan Kohl's user avatar
  • 19.6k
8 votes

Any other definition for algebraic number than the root of algebraic equation?

Assuming ZFC, one can characterize the algebraic numbers in $\mathbb{C}$ as those numbers which lie in finite orbits under the action of ${\rm Aut}(\mathbb{C})$ on $\mathbb{C}$.
Stefan Kohl's user avatar
  • 19.6k