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Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties.
The author defines and constructs 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. The author also shows that these split on tensoring with the ring equipped wit...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence :
American Mathematical Society,
2016.
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| Collection: | Memoirs of the American Mathematical Society.
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| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | The author defines and constructs 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. The author also shows that these split on tensoring with the ring equipped with the Hodge filtration given by powers of (x-i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. |
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| Description matérielle: | 1 online resource (190 pages) |
| ISBN: | 9781470434489 1470434482 |