$L^2$ extension of $\bar{\partial }$-closed forms on weakly pseudoconvex Kähler manifolds

Abstract

Combining V. Koziarz's observation about the regularity of some modified section related to the initial extension with J. McNeal--D. Varolin's regularity argument, we generalize two theorems of McNeal--Varolin for the $L^2$ extension of $\bar{\partial }$-closed high-degree forms on a Stein manifold to the weakly pseudoconvex Kähler case under mixed positivity conditions.

arXiv commentAn inaccuracy corrected

References in corpus (2)

• Extension of L^2, di-bar-closed, forms
• Higher cohomology of the pluricanonical bundle is not deformation invariant