caa a22 4500 475738535 CHVBK 20180406123453.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/PL00005791 doi (NATIONALLICENCE)springer-10.1007/PL00005791 Projective contact manifolds [Elektronische Daten] [Stefan Kebekus, Thomas Peternell, Andrew J. Sommese, Jarosław A. Wiśniewski] 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. Springer-Verlag Berlin Heidelberg, 2000 Kebekus Stefan Lehrstuhl Mathematik VIII, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: stefan.kebekus@uni-bayreuth.de), DE aut Peternell Thomas Lehrstuhl Mathematik I, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: thomas.peternell@uni-bayreuth.de), DE aut Sommese Andrew J. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA¶(e-mail: sommese@nd.edu), US aut Wiśniewski Jarosław A. Instytut Matematyki UW, Banacha 2, 02-097 Warszawa, Poland¶(e-mail: jarekw@mimuw.edu.pl), PL aut https://doi.org/10.1007/PL00005791 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00005791 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kebekus Stefan Lehrstuhl Mathematik VIII, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: stefan.kebekus@uni-bayreuth.de), DE aut NATIONALLICENCE 700 1- Peternell Thomas Lehrstuhl Mathematik I, Universität Bayreuth, 95440 Bayreuth, Germany¶(e-mail: thomas.peternell@uni-bayreuth.de), DE aut NATIONALLICENCE 700 1- Sommese Andrew J. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA¶(e-mail: sommese@nd.edu), US aut NATIONALLICENCE 700 1- Wiśniewski Jarosław A. Instytut Matematyki UW, Banacha 2, 02-097 Warszawa, Poland¶(e-mail: jarekw@mimuw.edu.pl), PL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer