4 papers · 1 filter
On the real homotopy type of compact complex surfaces
Joana Cirici
We show that on a compact complex surface all Massey products of cohomology classes in degree one vanish beyond length three. Dually, the real Malcev completion of the fundamental…
Model category structures on truncated multicomplexes for complex geometry
Joana Cirici, Muriel Livernet, Sarah Whitehouse
To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to -multicomplexes.…
Model category structures and spectral sequences
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
Let k be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of k-modules, with cofibrantly generated model structures, where the class o…
Mixed Hodge structures on the intersection homotopy type of complex varieties with isolated singularities
David Chataur, Joana Cirici
A homotopical treatment of intersection cohomology recently developed by Chataur-Saralegui-Tanré associates a "perverse algebraic model" to every topological pseudomanifold, extend…