Real Non Abelian Mixed Hodge Structures for Quasi Projective Varieties Formality and Splitting is popular PDF and ePub book, written by J. P. Pridham in 2016-09-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Real Non Abelian Mixed Hodge Structures for Quasi Projective Varieties Formality and Splitting can be Read Online from any device for your convenience.
Real Non Abelian Mixed Hodge Structures for Quasi Projective Varieties Formality and Splitting Book PDF Summary
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 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.
Detail Book of Real Non Abelian Mixed Hodge Structures for Quasi Projective Varieties Formality and Splitting PDF
- Author : J. P. Pridham
- Release : 06 September 2016
- Publisher : American Mathematical Soc.
- ISBN : 9781470419813
- Genre : Mathematics
- Total Page : 190 pages
- Language : English
- PDF File Size : 17,9 Mb
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