3 papers
math.AT2026
Products in absolute Hodge cohomology and mixed Hodge formality
Pedro Magalhães
Given a complex algebraic variety, we relate the product structure on its absolute Hodge cohomology with mixed Hodge formality, a notion of formality in the sense of rational homot…
math.AT2026
Mixed Hodge formality
Pedro Magalhães
We introduce the notion of mixed Hodge formality, which refines classical formality and takes into account the mixed Hodge structures present on the cohomology of complex algebraic…
math.AT2026
The inflation functor in pluripotential homological algebra
Pedro Magalhães, Anna Sopena-Gilboy
We introduce a functor from cochain complexes to bicomplexes, called inflation functor, which sends quasi-isomorphisms to the class of pluripotential weak equivalences. We show thi…