Mohammad Hadi – Page 3 – Decoding Dimensions

Material for the AG course on Monday, April 6th

Read: [GW] Chapter 1, Sections (1.15) to (1.19).

Exercises:

[GW] = Algebraic Geometry I. Schemes, with Examples and Exercises (U. Görtz, T. Wedhorn)

Read: [GW] Chapter 1, up to Section (1.15) Deﬁnition of prevarieties (try to read Sections 1.5 and 1.6 as well).

Exercises: 1.7 and 1.12.

[GW] = Algebraic Geometry I. Schemes, with Examples and Exercises (U. Görtz, T. Wedhorn)

Read: [B] Section: 3. Constructions with adic spectra

[B]: Huber Rings and Valuation Spectra (J. Bergdall)

Read: [GW] Chapter 1, Section (1.10) The affine coordinate ring.

Exercises: 1.2, 1.5, 1.6, 1.8, 1.9, 1.10 and 1.11.

[GW] = Algebraic Geometry I. Schemes, with Examples and Exercises (U. Görtz, T. Wedhorn)

Read: [Hü] Sections 1 and 2.

[Hü]: Adic Spaces (K. Hübner)

Read: [GW] Chapter 1, Section Affine algebraic sets .

[GW] = Algebraic Geometry I. Schemes, with Examples and Exercises (U. Görtz, T. Wedhorn)