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

-6 votes
1 answer
269 views

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 views

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} …