Hodge theory

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Real non-abelian mixed Hodge structures for quasi-projective varieties

Real non-abelian mixed Hodge structures for quasi-projective varieties: formality and splitting

by Pridham, J. P., (Jon P.), American Mathematical Society

fromMemoirs of the American Mathematical Society (En ligne)

0 Type: Book

We define and construct mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. We also show that these split on tensoring with the ring R[x] equip…