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

28 votes
5 answers
3k views

MaxSpec, Spec, ... "RadSpec"? Or, why not look at all radical ideals?

I was reading this question on why algebraic geometry looks at prime ideals instead of only maximal ideals, and I understand Anton's answer, but I'm a little confused as to how this fits with Hilbert' …
Zev Chonoles's user avatar
  • 6,792
2 votes
1 answer
515 views

Kahler differentials of a hypersurface over a non-algebraically closed field

The following was recently on my algebraic geometry homework: Let $k$ be an algebraically closed field, $f\in B=k[x_1,\ldots,x_n]$, and $A=B/(f)$. Show that $\Omega_{A/k}$ is locally free of rank …
Zev Chonoles's user avatar
  • 6,792
8 votes
2 answers
2k views

Can we relate Cech cohomology and derived functor cohomology even when the cover we choose i...

In my algebraic geometry class this semester, we've learned about Leray's Theorem, which states that for a sheaf $\mathcal{F}$ on a topological space $X$, and $\mathcal{U}$ a countable cover of $X$, i …
Zev Chonoles's user avatar
  • 6,792