The harmonic theory on a vector bundle with singular Hermitian metrics and positivity

Abstract

Let $E$ be a holomorphic vector bundle endowed with a singular Hermitian metric $H$. In this paper, we develop the harmonic theory on $(E,H)$. Then we extend several canonical results of J. Kollár and K. Takegoshi to this situation. In the end, we generalise Nakano's vanishing theorem.

28 pages, comments are welcome!

References in corpus (1)

• An alternative approach on the singular metric on a vector bundle