TY - JOUR
T1 - Extension of sections via adjoint ideals
AU - Ein, Lawrence
AU - Popa, Mihnea
N1 - Funding Information:
LE was partially supported by the NSF grant DMS-0700774. MP was partially supported by the NSF grant DMS-0601252 and by a Sloan Fellowship.
PY - 2012/2
Y1 - 2012/2
N2 - We prove theorems on extending sections of line bundles from divisors to the ambient space, inspired by various results of Siu, Kawamata, and especially Hacon-M cKernan and Takayama. We include applications to basepoint-freeness, to the invariance of analogues of plurigenera and of part of the boundary of the pseudo-effective cone in families, and to a slightly simplified approach to results of Hacon-M cKernan towards the existence of flips.
AB - We prove theorems on extending sections of line bundles from divisors to the ambient space, inspired by various results of Siu, Kawamata, and especially Hacon-M cKernan and Takayama. We include applications to basepoint-freeness, to the invariance of analogues of plurigenera and of part of the boundary of the pseudo-effective cone in families, and to a slightly simplified approach to results of Hacon-M cKernan towards the existence of flips.
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U2 - 10.1007/s00208-011-0639-2
DO - 10.1007/s00208-011-0639-2
M3 - Article
AN - SCOPUS:84855673012
SN - 0025-5831
VL - 352
SP - 373
EP - 408
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 2
ER -