Blar i Institutt for matematiske fag på forfatter "Tomassini, Adriano"
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Cohomologies of complex manifolds with symplectic (1, 1)-forms
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2023)Let (X,J) be a complex manifold with a non-degenerated smooth d-closed (1,1)-form ω. Then we have a natural double complex ∂ +∂Λ, where ∂Λ denotes the symplectic adjoint of the ∂-operator. Westudy the Hard Lefschetz Condition ... -
Some results on the Hard Lefschetz Condition
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2018)We discuss the Hard Lefschetz Condition (HLC) on various cohomology groups and verify them for the Nakamura manifold of completely solvable type and the Kodaira-Thurston manifold. A general Demailly-Griffiths-Kähler identity ... -
Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
Rollenske, Sonke; Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2019)In this paper, we obtain a vertical–horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems for cohomologies of nilmanifolds follow as applications.