TY - JOUR
T1 - Openness of versality via coherent functors
AU - Hall, Jack
N1 - Publisher Copyright:
© De Gruyter 2017.
PY - 2017/1
Y1 - 2017/1
N2 - We give a proof of openness of versality using coherent functors. As an application, we streamline Artin's criterion for algebraicity of a stack. We also introduce multi-step obstruction theories, employing them to produce obstruction theories for the stack of coherent sheaves, the Quot functor, and spaces of maps in the presence of non-flatness.
AB - We give a proof of openness of versality using coherent functors. As an application, we streamline Artin's criterion for algebraicity of a stack. We also introduce multi-step obstruction theories, employing them to produce obstruction theories for the stack of coherent sheaves, the Quot functor, and spaces of maps in the presence of non-flatness.
UR - http://www.scopus.com/inward/record.url?scp=85009811519&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85009811519&partnerID=8YFLogxK
U2 - 10.1515/crelle-2014-0057
DO - 10.1515/crelle-2014-0057
M3 - Article
AN - SCOPUS:85009811519
VL - 2017
SP - 137
EP - 182
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
SN - 0075-4102
IS - 722
ER -