학술논문

Grothendieck's Existence Theorem for Relatively Perfect Complexes on Algebraic Stacks
Document Type
Working Paper
Source
Subject
Mathematics - Algebraic Geometry
Language
Abstract
We prove Grothendieck's existence theorem for relatively perfect complexes on an algebraic stack that is proper and flat over an $I$-adically complete Noetherian ring $A$. This generalizes an earlier result of Lieblich in the setting of algebraic spaces.
Comment: Removed flatness hypothesis from Lemma 3.4