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Results tagged with ag.algebraic-geometry
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user 120592
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
Accepted
Connected subgroup of $\mathbb G^n_m$ of Zariski dimension 1
Over any field, every smooth connected algebraic subgroup of $\mathbb{G}_m^n$ of dimension one is isomorphic to $\mathbb{G}_m$. First note that such a subgroup is diagonalizable because it has a faith …
- 76
1
vote
Recovering the Zariski topology from the Zariski topology over an extension
Let $A$ be a finitely generated $k$-algebra, and let $K$ be the algebraic
closure of $k$. I explain how to recover $spec(A)$ from $spec(A\otimes K)$.
Equivalently, I explain how to recover $spm(A)$ fr …
- 76