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Projective contact manifolds |
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| Authors: | Stefan Kebekus Thomas Peternell Andrew J. Sommese Jarosław A. Wiśniewski |
| Affiliation: | Lehrstuhl Mathematik VIII, Universit?t Bayreuth, 95440 Bayreuth, Germany?(e-mail: stefan.kebekus@uni-bayreuth.de), DE Lehrstuhl Mathematik I, Universit?t Bayreuth, 95440 Bayreuth, Germany?(e-mail: thomas.peternell@uni-bayreuth.de), DE Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA?(e-mail: sommese@nd.edu), US Instytut Matematyki UW, Banacha 2, 02-097 Warszawa, Poland?(e-mail: jarekw@mimuw.edu.pl), PL |
| Abstract: | The present work is concerned with the study of complex projective manifolds X which carry a complex contact structure. In the first part of the paper we show that if K X is not nef, then either X is Fano and b 2(X)=1, or X is of the form ℙ(T Y ), where Y is a projective manifold. In the second part of the paper we consider contact manifolds where K X is nef. Oblatum 15-X-1999 & 3-II-2000?Published online: 8 May 2000 |
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