← Theoretical / proof-based

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In this program

Sheaves on topological spaces
Affine schemes and Spec of a ring
Schemes: gluing, morphisms, and closed subschemes
Structure sheaf
Locally ringed spaces
Fiber products
Base change (introduction)

Schemes and sheaves

Sheaves on topological spaces

Algebraic geometry · Theoretical / proof-based

Topic

Sheaves on topological spaces; sheafification

Practice by unit: Schemes and sheaves

Graduate Algebraic Geometry — scope drawn from open algebraic geometry notes and typical US graduate algebraic geometry syllabi.

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