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A: What is a Futaki invariant, what is the intuition behind it, and why is it important?

alfatahelectronicsThe Futaki invariant is a mathematical concept in the field of algebraic geometry, particularly in the study of Kähler geometry and stability of Fano manifolds. It plays a crucial role in understanding the existence and properties of Kähler-Einstein metrics on Fano manifolds. Here's a breakdown o...

Sigh... I doubt that AI is sophisticated enough to take over the world... — Alex M. 3 hours ago
I got an almost word-for-word identical answer from ChatGPT, so not much room for doubt or "but this is the style of my writing". The answer is in clear violation of site policy. — Jukka Kohonen 3 hours ago
@JukkaKohonen: This is interesting. I was under the impression that the output of AI systems is non-deterministic, i.e. that identical inputs may lead to widely different outputs - which is why it is difficult to predict an AI agent's behaviour. — Alex M. 31 mins ago

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