Pluricanonical systems on minimal algebraic varieties
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Publication:1076092
DOI10.1007/BF01388524zbMath0593.14010MaRDI QIDQ1076092
Publication date: 1985
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143213
canonical divisornumerical Kodaira dimensionnumerically effective canonical divisorgood minimal algebraic varietysemi-ampleness of
Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)
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Cites Work
- Zariski decomposition and canonical rings of elliptic threefolds
- Sur l'anneau canonique de certaines variétés de dimension 3
- The cone of curves of algebraic varieties
- Rationalité des singularités canoniques
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- On D-dimensions of algebraic varieties
- Théorie de Hodge. III
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- On the Finiteness of Generators of a Pluri-Canonical Ring for a 3-Fold of General Type
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
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