On affine morphisms of Hopf algebroids

Geoffrey M. L. Powell
2008 Homology, Homotopy and Applications  
The paper considers the FPQC stacks which are associated to affine groupoid schemes. Using a formulation of a descent datum in terms of morphisms of affine groupoid schemes, explicit arguments are given which avoid appeal to the general principle of faithfully flat descent. This theory is applied to consider the notion of affine morphism.
doi:10.4310/hha.2008.v10.n1.a4 fatcat:jgegofdxofdjzjhvokrbp4sbca