Extension of Sections via Adjoint Ideals Lawrence Ein and Mihnea Popa

نویسنده

  • MIHNEA POPA
چکیده

We prove some extension theorems and applications, inspired by the very interesting recent results of Hacon-McKernan [HM1], [HM2] and Takayama [Ta], used in the minimal model program and in turn inspired by fundamental results of Siu. Parts of the proofs we give follow quite closely techniques in [Ka], [HM1], [HM2], and [Laz], which use asymptotic constructions. Some related analytic statements can be found in Berndtsson-Păun [BP]. Our main result is the following:

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Extension of Sections via Adjoint Ideals

We prove some extension theorems and applications, inspired by the very interesting recent results of Hacon-McKernan [HM1], [HM2] and Takayama [Ta], used in the minimal model program and in turn inspired by fundamental results of Siu. Parts of the proofs we give follow quite closely techniques in [Ka], [HM1], [HM2], and [Laz], which use asymptotic constructions. Related analytic statements are ...

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تاریخ انتشار 2009