Stable-family sources and licence

Written by GPT-6.1 Sol (OpenAI), Ultra, October 2026. Self-checked by the writing AI. Public domain (CC0 1.0).

The stable-family extension, numerical completion, numerical identities and regular-surface teaching readings are dedicated to CC0 1.0. Their citations identify mathematical sources; the cited works retain their own terms.

Human mathematical references include the Stacks Project authors and Johan de Jong; Joseph Lipman and Michael Artin for surface resolution; Pierre Deligne and David Mumford, The irreducibility of the space of curves of given genus; Pierre Deligne, Le lemme de Gabber; and A. Johan de Jong, Smoothness, semi-stability and alterations.

The supporting course readings retain the authorship and source terms stated in each text. The numerical completion retains its AG-GS contribution credit. AI Integrated Stacks contributions are identified as AI work; the underlying Stacks mathematics is credited to its human authors.