Exercise Note

Normality, Coherent Extension, Tensor Operations, and Affineness

Independent solutions to Hartshorne II.5.14-18, covering projective normality, coherent extension, tensor operations, affine morphisms, relative Spec, and vector bundles.

Summary

Exercises and mechanisms

The note organizes a cluster of projective and affine geometry exercises around the algebraic bookkeeping that makes the constructions work.

Scope

The PDF covers Hartshorne, Algebraic Geometry, Chapter II, Section 5, Exercises 14-18.

Contribution type: Independent exercise solutions
Contribution: Independent solutions to Hartshorne II.5.14-18, written to make the algebraic and geometric bookkeeping explicit.
Source problems: Hartshorne, Algebraic Geometry, Chapter II, Section 5, Exercises 14-18
Mechanism: normalization, section rings, Veronese bookkeeping, coherent extension, relative Spec, vector bundles
Format: PDF note

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