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

Algebra

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About the Author J. P. Pridham, University of Edinburgh, United Kingdom. Product Description 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.

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Format: paperback
ASIN: 1470419815
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 September 2016
Listed Since: 22 June 2016

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

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