Descent for algebraic stacks

Key Points

• The aim is to establish that algebraic stacks satisfy 2-descent for fppf coverings and to extend Galois descent from schemes to stacks.
• Proved 2-descent for algebraic stacks under fppf coverings.
• Generalized Galois descent to stacks by focusing on finite Galois coverings.
• Reformulated 2-descent data in relation to Galois group actions.
• Algebraic stacks are shown to satisfy 2-descent for fppf coverings.
• The generalized concept highlights the role of Galois groups in the context of algebraic stacks.