Math 216: Foundations of Algebraic Geometry (The Rising Sea)
by Ravi Vakil · Stanford University
Ravi Vakil's Stanford course site hosting free drafts of The Rising Sea, a graduate text on Grothendieck-style algebraic geometry: sheaves, schemes, morphisms, dimension, smoothness, quasicoherent sheaves and cohomology, with extensive exercises. Readers learn to work fluently with schemes and the modern foundations of the field.
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