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

6 votes

Can $\mathbb{P}^n$ be regarded as an algebraic vector bundle over some algebraic variety?

That's right. I think the one sentence rephrasing of Kevin's argument would be proper morphisms are stable under pullback (this is obvious by the very definition of properness which is stated through …
amaanush's user avatar
  • 139
7 votes
2 answers
871 views

Are closed subfunctors complementary to open subfunctors?

I apologize if the following question has already been asked and settled. I couldn't find any thread. Say, $\mathcal{C} = (Sch/k)$, the category of schemes over $k$ (a field). Let $\mathcal{F} \in \m …
amaanush's user avatar
  • 139