The finite field of order $p^n$ is isomorphic to $(\mathbb Z/p \mathbb Z)[X]/(P)$, where $P$ is an irreducible polynomial in $(\mathbb Z/p \mathbb Z)[X]$ of degree $n$. This describes every finite field up to isomorphism. My question is, what are alternate ways of describing these finite fields?...

I apologize in advance; I know that this site is for research-level mathematics, not for elementary learning ground. But I tried to understand the following question on my own but it is still unsatisfactory. I asked a question to a professor: Let P be a $d$-dimensional convex polytope with $f...

I suggest deleting the tag decomposition-theorem. I would guess that the tag was intended to be about the decomposition theorem of Beilinson-Bernstein-Deligne-Gabber. It seems unnecessary to have a whole tag just dedicated to this theorem (perverse-sheaves should suffice). What's worse, most po...