Holmstrom Perfect complex

arXiv:1210.2827 Proper local complete intersection morphisms preserve perfect complexes fra arXiv Front: math.AG av B. Toën Let f:XYf : X \longrightarrow Y be a proper and local complete intersection morphism of schemes. We prove that f *\mathbb{R}f_{*} preserves perfect complexes, without any projectivity or noetherian assumptions. This provides a different proof of a theorem by Neeman and Lipman based on techniques from derived algebraic geometry to proceed a reduction to the noetherian case.

nLab page on Perfect complex

Created on June 9, 2014 at 21:16:16 by Andreas Holmström