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Some of the basic types of morphisms discussed in Hartshorne/ http://www.dam.brown.edu/people/mumford/alg_geom/papers/AGII.pdf (page 391) should be included here. This includes

• mention miracle flatness... — Preceding unsigned comment added by 128.138.169.226 (talk) 21:40, 8 August 2017 (UTC)[reply]
• smooth
• finite
• local complete intersection morphisms
• essentially finite type — Preceding unsigned comment added by 71.212.185.82 (talk) 23:51, 11 August 2017 (UTC)[reply]

Flesh out computation: