The Sarkisov program on log surfaces
Keisuke Miyamoto
TL;DR
This paper extends the Sarkisov program to $Q$-factorial and log canonical log surfaces over any algebraically closed field, broadening its applicability in algebraic geometry.
Contribution
It proves that the Sarkisov program applies to $Q$-factorial and log canonical log surfaces over arbitrary algebraically closed fields, a significant generalization.
Findings
Sarkisov program holds for $Q$-factorial log surfaces
Sarkisov program holds for log canonical surfaces
Applicable over any algebraically closed field
Abstract
We show that the Sarkisov program holds for -factorial log surfaces and log canonical surfaces over any algebraically closed field.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Mathematical Dynamics and Fractals