caa a22 4500 445835567 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0710-9 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0710-9 Schnell Christian Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Street, 60607, Chicago, IL, USA aut Primitive cohomology and the tube mapping [Elektronische Daten] [Christian Schnell] Let X be a smooth complex projective variety of dimension d. We show that its primitive cohomology in degree d is generated by certain "tube classes,” constructed from the monodromy in the family of all hyperplane sections of X. The proof makes use of a result about the group cohomology of certain representations that may be of independent interest. Springer-Verlag, 2010 Primitive cohomology nationallicence Lefschetz pencil nationallicence Monodromy nationallicence Group cohomology nationallicence Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 1069-1089 0025-5874 268:3-4<1069 2011 268 209 https://doi.org/10.1007/s00209-010-0710-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0710-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Schnell Christian Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Street, 60607, Chicago, IL, USA aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 1069-1089 0025-5874 268:3-4<1069 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer