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May 9, 2022 at 12:08 vote accept Tommaso Scognamiglio
May 9, 2022 at 11:27 comment added Will Sawin @TommasoScognamiglio No, see cmsa.fas.harvard.edu/wp-content/uploads/2020/12/… (Hodge structures and the topology of algebraic varieties by Claire Voisin) Theorem 3.1.
May 9, 2022 at 7:49 comment added Tommaso Scognamiglio Does the theorem of Deligne-Blanchard stand without any hypothesis on $X$? (Neither smoothness or something?)
May 8, 2022 at 17:54 history answered Will Sawin CC BY-SA 4.0