A general extension theorem for cohomology classes on non reduced analytic subspaces

作者：Cao JunYan; Demailly Jean Pierre^*; Matsumura Shin ichi

来源：Science China Mathematics, 2017, 60(6): 949-962.

DOI：10.1007/s11425-017-9066-0

• compact Kahler manifold
• singular hermitian metric
• coherent sheaf cohomology
• Dolbeault cohomology
• plurisubharmonic function
• L-2 estimates
• Ohsawa-Takegoshi extension theorem
• multiplier ideal sheaf

The main purpose of this paper is to generalize the celebrated L (2) extension theorem of Ohsawa and Takegoshi in several directions: The holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is Kahler and holomorphically convex, but not necessarily compact.

• 出版日期2017-6