In this memoir, we calculate the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. The topology of these singularities is sufficient…
In this work, Artal-Bartolo calculates the Jordan form of the monodromy of surface superisolated singularities, using mixed Hodge structure. The main step in this computation is to present explicitly an embedded resolution for this family. It turns out that the topology of these…
This monograph gives an exposition of Hodge theory, leading to three new proofs of a local Torelli theorem for curves and a proof for a smooth family of surfaces, threefolds, or fourfolds, whose cotangent map is a birational morphism.