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

2 votes
4 answers
502 views

Is $X\times \mathbb{P}^{n}$ connected for a smooth, proper and connected scheme $X$?

Let $S$ be a base-scheme, for our purposes we can assume it is the spectrum of a field $k$. Given a smooth, proper and connected $S$-scheme $X$ and an integer $n\geq 1$, is then the fibre-product $X\t …
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