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On the extension problem of pluricanonical forms. (English) Zbl 0972.14005

Pragacz, Piotr (ed.) et al., Algebraic geometry: Hirzebruch 70. Proceedings of the algebraic geometry conference in honor of F. Hirzebruch’s 70th birthday, Stefan Banach International Mathematical Center, Warszawa, Poland, May 11-16, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 241, 193-207 (1999).
Summary: We review some recent development on the extension problem of pluricanonical forms from a divisor to the ambient space by Y.-T. Siu [Invent. Math. 134, 661-673 (1998; Zbl 0955.32017), Y. Kawamata and N. Nakayama [Topology 25, 237-251 (1986; Zbl 0596.14026)] with simplified proofs.
For the entire collection see [Zbl 0924.00033].

MSC:

14E05 Rational and birational maps
14C20 Divisors, linear systems, invertible sheaves