Skip to main content
deleted 9 characters in body; edited tags; edited title
Source Link
Michael Albanese
  • 19.3k
  • 9
  • 87
  • 160

A question about the KahlerKähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$

I have found in Mathoverflow [Kahler[Kähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$ ] 1 that :

Let $X=\mathbb{C}P^n\sharp\mathbb{C}P^n$ be the blowing up at a point. The K$\ddot{a}$hlerKähler cone of $X$ is $$\mathcal{P}\backsimeq \{ a,b\in \mathbb{R}^2| a>0,b>0,a>b\}$$ There the author presents the proof of the above isomorphism, however I cannot understand. Can anyone offer more explicit proof or some references of this problem? Thank you very much!

A question about the Kahler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$

I have found in Mathoverflow [Kahler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$ ] 1 that :

Let $X=\mathbb{C}P^n\sharp\mathbb{C}P^n$ be the blowing up at a point. The K$\ddot{a}$hler cone of $X$ is $$\mathcal{P}\backsimeq \{ a,b\in \mathbb{R}^2| a>0,b>0,a>b\}$$ There the author presents the proof of the above isomorphism, however I cannot understand. Can anyone offer more explicit proof or some references of this problem? Thank you very much!

A question about the Kähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$

I have found in Mathoverflow [Kähler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$ ] 1 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 $$\mathcal{P}\backsimeq \{ a,b\in \mathbb{R}^2| a>0,b>0,a>b\}$$ There the author presents the proof of the above isomorphism, however I cannot understand. Can anyone offer more explicit proof or some references of this problem? Thank you very much!

Source Link
Faith
  • 89
  • 5

A question about the Kahler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$

I have found in Mathoverflow [Kahler cone of $\mathbb{C}P^n\sharp\mathbb{C}P^n$ ] 1 that :

Let $X=\mathbb{C}P^n\sharp\mathbb{C}P^n$ be the blowing up at a point. The K$\ddot{a}$hler cone of $X$ is $$\mathcal{P}\backsimeq \{ a,b\in \mathbb{R}^2| a>0,b>0,a>b\}$$ There the author presents the proof of the above isomorphism, however I cannot understand. Can anyone offer more explicit proof or some references of this problem? Thank you very much!