Minimal model program for excellent surfaces

Abstract

We establish the minimal model program for log canonical and Q-factorial surfaces over excellent base schemes.

31 pages, v2: minor revisions, v3: minor revisions. The title was slightly changed, v4: the final version, to appear in Annales de l'Institut Fourier

References in corpus (1)

• Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Cited by in corpus (5)

• The Minimal Model Program for threefolds in characteristic five
• Invariance of certain plurigenera for surfaces in mixed characteristics
• Canonical Kahler metrics and Arithmetics -- Generalising Faltings heights
• General hyperplane sections of threefolds in positive characteristic
• Smooth rational surfaces violating Kawamata-Viehweg vanishing