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Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting - Memoirs of the American Mathematical Society (Paperback)
  • Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting - Memoirs of the American Mathematical Society (Paperback)
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Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting - Memoirs of the American Mathematical Society (Paperback)

(author)
£89.50
Paperback 178 Pages / Published: 30/09/2016
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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 $\mathbb{R}[x]$ 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. As the basepoint varies, these structures all become real variations of mixed Hodge structure.

Publisher: American Mathematical Society
ISBN: 9781470419813
Number of pages: 178
Dimensions: 254 x 178 mm

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