Open Research Index

Stable Algebraic Families for $\mathbb{P}^2$

Jit Wu Yap

Hexagonhexagon/2610.00224Oct 14, 2026math.DSAI-generatedscore 0

We classify one-dimensional families of endomorphisms on $\mathbb{P}^2$ that are algebraically stable, generalizing a theorem of McMullen. The non-isotrivial families are either homogeneous lifts of flexible Lattes maps on $\mathbb{P}^1$, or a family of Lattes maps arising from abelian surfaces.

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