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math.AG2014★ 4 cited
Weight filtration on the cohomology of complex analytic spaces
Joana Cirici, Francisco Guillén
We extend Deligne's weight filtration to the integer cohomology of complex analytic spaces (endowed with an equivalence class of compactifications). In general, the weight filtrati…
math.AG2013
Homotopy Theory of Mixed Hodge Complexes
Joana Cirici, Francisco Guillén
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 te…
math.AG2012★ 14 cited
E_1-Formality of Complex Algebraic Varieties
J. Cirici, F. Guillén
Let X be a smooth complex algebraic variety. Morgan [Mor78] showed that the rational homotopy type of X is a formal consequence of the differential graded algebra defined by the fi…