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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
-6
votes
1
answer
269
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The Betti numbers of of $CP^n\sharp CP^n$ [closed]
I have known that $b_2(CP^n\sharp CP^n)=2$, however I have no idear how to prove this fact ! I appreciate any help for this simple question! Thank you!
6
votes
0
answers
166
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A question about the Kähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$
I have found in Mathoverflow Kähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$ that :
Let $X=\mathbb{C}P^n\sharp\mathbb{C}P^n$ be the blowing up at a point. The Kähler cone of $X$ is
$$\mathcal{P} …