#dolbeault cohomology

topicdolbeault cohomology

2 papers · 1 filter

math.DG2026

Invariant forms compute the Dolbeault cohomology of complex nilmanifolds

Keizo Hasegawa, Lorenzo Sillari, Adriano Tomassini

The paper proves that for compact nilmanifolds with left‑invariant complex structures, the Dolbeault cohomology (and related Bott‑Chern, Aeppli, and Frölicher invariants) can be co…

math.CV2026

$L^{2}$ -Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

Yuta Watanabe

The paper develops an $L^{2}$ -theory for the $ar\partial$-operator on complex spaces with singular Hermitian metrics, providing $L^{2}$ -Dolbeault resolutions and estimates, and uses t…

#dolbeault cohomology

Invariant forms compute the Dolbeault cohomology of complex nilmanifolds

L2-Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics

$L^{2}$ -Dolbeault resolutions and Nadel vanishing on weakly pseudoconvex complex spaces with singular Hermitian metrics