Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

A footnote in hep-th/0411238 explains:

"E. Calabi has constructed an explicit Kahler–Einstein metric on del Pezzo 6 – recall that this is the blow–up of $\mathbb{CP}_2$ at 6 points – with a certain symmetric configuration of the 6 blown–up points. The corresponding Sasaki–Einstein metric on #6$(S2 × S3)$ is thus also explicit. This metric has apparently never been published"

What is the explicit form of this metric?

share|cite|improve this question

1 Answer 1

I heard about this result also. But I asked someone who has worked in K\"{a}hler and extremal metrics for some time and he didn't believe there was such a result.

There is still no explicit formula for the K\"{a}hler-Einstein metric on $\mathbb{CP}^2$ blown up at 3 points, even though it is a toric variety.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.