Proper morphism sending coherent to coherent - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T07:25:50Z http://mathoverflow.net/feeds/question/82792 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/82792/proper-morphism-sending-coherent-to-coherent Proper morphism sending coherent to coherent Sasha 2011-12-06T13:31:03Z 2011-12-06T17:16:02Z <p>Hello,</p> <p>Is there a proof that the push forward by a proper morphism of Noetherian schemes sends coherent sheaves to coherent ones, without passing in the argument through projective morphisms?</p> <p>Thank you, Sasha</p> http://mathoverflow.net/questions/82792/proper-morphism-sending-coherent-to-coherent/82803#82803 Answer by a-fortiori for Proper morphism sending coherent to coherent a-fortiori 2011-12-06T17:16:02Z 2011-12-06T17:16:02Z <p>Gerd Faltings, Finiteness of coherent cohomology for proper fppf stacks, J. Algebraic Geometry 12 (2003) 357–366</p>