This e-book is an advent to the speculation of algebraic areas and stacks meant for graduate scholars and researchers conversant in algebraic geometry on the point of a first-year graduate path. the 1st numerous chapters are dedicated to historical past fabric together with chapters on Grothendieck topologies, descent, and fibered different types. Following this, the speculation of algebraic areas and stacks is built. The final 3 chapters speak about extra complicated issues together with the Keel-Mori theorem at the life of coarse moduli areas, gerbes and Brauer teams, and numerous moduli stacks of curves. a variety of workouts are incorporated in every one bankruptcy starting from regimen verifications to tougher difficulties, and a thesaurus of precious classification idea is incorporated as an appendix.
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