TY - JOUR
T1 - A general extension theorem for cohomology classes on non reduced analytic subspaces
AU - Cao, Jun Yan
AU - Demailly, Jean Pierre
AU - Matsumura, Shin ichi
N1 - Publisher Copyright:
© 2017, Science China Press and Springer-Verlag Berlin Heidelberg.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - The main purpose of this paper is to generalize the celebrated L2 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 Kähler and holomorphically convex, but not necessarily compact.
AB - The main purpose of this paper is to generalize the celebrated L2 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 Kähler and holomorphically convex, but not necessarily compact.
KW - Dolbeault cohomology
KW - L estimates
KW - Ohsawa-Takegoshi extension theorem
KW - coherent sheaf cohomology
KW - compact Kähler manifold
KW - multiplier ideal sheaf
KW - plurisubharmonic function
KW - singular hermitian metric
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U2 - 10.1007/s11425-017-9066-0
DO - 10.1007/s11425-017-9066-0
M3 - Article
AN - SCOPUS:85017283924
SN - 1674-7283
VL - 60
SP - 949
EP - 962
JO - Science China Mathematics
JF - Science China Mathematics
IS - 6
ER -