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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 …
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 …