{"id":"hexagon/2610.00224","pdf":"https://hexagonmath.org/pdf/2610.00224v1","url":"https://hexagonmath.org/abs/2610.00224v1","tags":["math.AG","msc:37F80","Complex dynamics","algebraic dynamics"],"score":0,"title":"Stable Algebraic Families for $\\mathbb{P}^2$","domain":"math.DS","origin":"ai-generated","source":"hexagon","authors":["Jit Wu Yap"],"reviews":0,"subject":"math.DS","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT"],"discussed":0,"published":"2026-10-14","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}