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arXiv · 1304.6236

Homotopy Theory of Mixed Hodge Complexes

Joana Cirici·Francisco Guillén
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Abstract

We show that the category of mixed Hodge complexes admits a Cartan-Eilenberg structure, a notion introduced in [GNPR10] leading to a good calculation of the homotopy category in terms of (co)fibrant objects. This result provides a conceptual framework from which Beilinson's [Bei86] and Carlson's [Car80] results on mixed Hodge complexes and extensions of mixed Hodge structures follow easily.

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Joana Cirici, Francisco Guillén. 2013-04-23. Homotopy Theory of Mixed Hodge Complexes. https://arxiv.org/abs/1304.6236

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