Algebraic Geometry

Download E-books Algebraic Spaces and Stacks (Colloquium Publications) PDF

This publication is an creation to the idea of algebraic areas and stacks meant for graduate scholars and researchers acquainted with algebraic geometry on the point of a first-year graduate path. the 1st a number of chapters are dedicated to history fabric together with chapters on Grothendieck topologies, descent, and fibered different types. Following this, the idea of algebraic areas and stacks is built. The final 3 chapters talk about extra complex subject matters together with the Keel-Mori theorem at the lifestyles of coarse moduli areas, gerbes and Brauer teams, and numerous moduli stacks of curves. a number of routines are integrated in every one bankruptcy starting from regimen verifications to more challenging difficulties, and a thesaurus of useful type idea is integrated as an appendix.

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