On Degenerations of the Projective Plane
J\"urgen Hausen, Katharina Kir\'aly, Milena Wrobel

TL;DR
This paper explicitly classifies all log terminal, rational degenerations of the projective plane that admit a non-trivial torus action, extending previous results in the field.
Contribution
It provides an explicit classification of certain degenerations of the projective plane, complementing and extending prior work by Hacking and Prokhorov.
Findings
Complete list of degenerations with torus action
Explicit descriptions of each degeneration
Extension of previous classification results
Abstract
Complementing results of Hacking and Prokhorov, we determine in an explicit manner all log terminal, rational, degenerations of the projective plane that allow a non-trivial torus action.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Point processes and geometric inequalities · Mathematical Dynamics and Fractals
