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Timeline for Flatness of the Hitchin system?

Current License: CC BY-SA 4.0

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Jun 4, 2020 at 21:38 comment added Dori Bejleri @Johan I added an edit addressing these questions above since it was too long for a comment.
Jun 4, 2020 at 21:36 history edited Dori Bejleri CC BY-SA 4.0
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Jun 2, 2020 at 20:03 history bounty ended IMeasy
Jun 1, 2020 at 14:37 vote accept Johan
Jun 1, 2020 at 14:36 comment added Johan Thank you! It actually seems like the same argument also works for the coarse moduli space of semi-stable Higgs bundles, no? Also, flatness should be true as well for the Hitchin fibration on the moduli space of Higgs bundles that take value in a line bundle other than the canonical bundle (one more positive). The symplectic context is missing in that set-up. Would it be possible to prove the key result (Prop. 8 in Ginzburg) without Lemma 7 (the fact that the stack of globally nilpotent Higgs bundles is isotropic)?
May 31, 2020 at 0:43 history answered Dori Bejleri CC BY-SA 4.0