The Sarkisov program on log surfaces

Abstract

We show that the Sarkisov program holds for $\mathbb{Q}$-factorial log surfaces and log canonical surfaces over any algebraically closed field.

arXiv comment22 pages

References in corpus (3)

• Finite generation of adjoint ring for log surfaces
• Minimal model theory for log surfaces in Fujiki's class $\mathcal{C}$
• On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces

Cited by in corpus (1)

• Minimal model theory for log surfaces in Fujiki's class $\mathcal{C}$