Homology, Homotopy and Applications
Volume 10 (2008)
On affine morphisms of Hopf algebroids
Pages: 53 – 95
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.
stack; Hopf algebroid; FPQC topology; affine morphism
2010 Mathematics Subject Classification
Primary 14A20. Secondary 14Lxx, 55N20, 55S05.