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May 1 at 16:51 comment added abx I think this is well explained in the two answers below, in particular that of Donu Arapura.
May 1 at 14:53 vote accept kindasorta
May 1 at 14:48 comment added kindasorta Isn't that a corollary of the degeneration of the Hodge to de Rham spectral sequence in the $E^1$-page for smooth projective schemes over a field? What am I missing here? Why is it true that $\mathcal{F^1H^1}$ is even rationally defined for an $\mathbb{R}$-defined elliptic curve?
May 1 at 12:54 history became hot network question
May 1 at 12:46 answer added Donu Arapura timeline score: 7
May 1 at 7:33 history edited Olivier Benoist
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May 1 at 7:29 answer added Olivier Benoist timeline score: 12
May 1 at 5:32 comment added abx "each $\mathcal{F}^{i}$ is the complexification of a $\mathbb{R}$-sub vector space of $H^{i}_{\operatorname{dR} }(X)$": no, this is false.
Apr 30 at 17:40 history asked kindasorta CC BY-SA 4.0