Proper morphism sending coherent to coherent - MathOverflow most recent 30 from http://mathoverflow.net2013-05-23T07:25:50Zhttp://mathoverflow.net/feeds/question/82792http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/82792/proper-morphism-sending-coherent-to-coherentProper morphism sending coherent to coherentSasha2011-12-06T13:31:03Z2011-12-06T17:16:02Z
<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#82803Answer by a-fortiori for Proper morphism sending coherent to coherenta-fortiori2011-12-06T17:16:02Z2011-12-06T17:16:02Z<p>Gerd Faltings, Finiteness of coherent cohomology for proper fppf stacks, J. Algebraic Geometry 12 (2003) 357–366</p>