caa a22 4500 445849398 CHVBK 20180317145409.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10240-011-0036-0 doi (NATIONALLICENCE)springer-10.1007/s10240-011-0036-0 Differential forms on log canonical spaces [Elektronische Daten] [Daniel Greb, Stefan Kebekus, Sándor Kovács, Thomas Peternell] The present paper is concerned with differential forms on log canonical varieties. It is shown that any p-form defined on the smooth locus of a variety with canonical or klt singularities extends regularly to any resolution of singularities. In fact, a much more general theorem for log canonical pairs is established. The proof relies on vanishing theorems for log canonical varieties and on methods of the minimal model program. In addition, a theory of differential forms on dlt pairs is developed. It is shown that many of the fundamental theorems and techniques known for sheaves of logarithmic differentials on smooth varieties also hold in the dlt setting. Immediate applications include the existence of a pull-back map for reflexive differentials, generalisations of Bogomolov-Sommese type vanishing results, and a positive answer to the Lipman-Zariski conjecture for klt spaces. IHES and Springer-Verlag, 2011 Greb Daniel Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germany aut Kebekus Stefan Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germany aut Kovács Sándor Department of Mathematics, University of Washington, Box 354350, 98195, Seattle, WA, USA aut Peternell Thomas Matematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany aut Publications mathématiques de l'IHÉS Springer-Verlag 114/1(2011-11-01), 87-169 0073-8301 114:1<87 2011 114 10240 https://doi.org/10.1007/s10240-011-0036-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10240-011-0036-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Greb Daniel Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germany aut NATIONALLICENCE 700 1- Kebekus Stefan Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Eckerstraße 1, 79104, Freiburg im Breisgau, Germany aut NATIONALLICENCE 700 1- Kovács Sándor Department of Mathematics, University of Washington, Box 354350, 98195, Seattle, WA, USA aut NATIONALLICENCE 700 1- Peternell Thomas Matematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany aut NATIONALLICENCE 773 0- Publications mathématiques de l'IHÉS Springer-Verlag 114/1(2011-11-01), 87-169 0073-8301 114:1<87 2011 114 10240 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer