Jennifer M. Johnson, János Kollár (2001)
Annales de l’institut Fourier
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We determine all anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kähler-Einstein metric and most of them do not have tigers.
Schumacher, Georg (2002)
Documenta Mathematica
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Tien-Cuong Dinh, Nessim Sibony (2004)
Annales scientifiques de l'École Normale Supérieure
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Sébastien Boucksom (2004)
Annales scientifiques de l'École Normale Supérieure
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Ngaiming Mok (2000)
Annales de l'institut Fourier
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We prove fibration theorems on compact Kähler manifolds with conditions on first cohomology groups of fundamental groups with respect to unitary representations into Hilbert spaces. If the fundamental group T of compact Kähler manifold X violates Property (T) of Kazhdan’s, then for some unitary representation . By our earlier work there exists a -closed holomorphic 1-form with coefficients twisted by some unitary representation , possibly non-isomorphic to . Taking norms we obtains...
Nicholas Buchdahl (2000)
Annales de l'institut Fourier
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A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.