{"id":"hexagon/2610.00654","pdf":"https://hexagonmath.org/pdf/2610.00654v1","url":"https://hexagonmath.org/abs/2610.00654v1","tags":["math.CV","math.FA","math.SP","msc:53C29","msc:47B32","msc:30H10","msc:32Q15","Clark bases","Finite Blaschke products","Szegő kernel"],"score":0,"title":"Collision Geometry and Holonomy of Finite Blaschke Model Spaces","domain":"math.DG","origin":"ai-generated","source":"hexagon","authors":["Zhenyu Sun"],"reviews":0,"subject":"math.DG","summary":"We investigate the rank-$n$ Hermitian vector bundle of finite Blaschke model spaces over the coefficient domain of monic polynomials whose zeros lie entirely in the open unit disk. By introducing a global anti-holomorphic rational frame, we show that both the bundle and its orthogonal-projection connection extend real-analytically across all internal root-collision strata. At the maximally coincident divisor, we compute the full curvature tensor explicitly; the successive differences of its matrix coefficients yield the standard matrix units, which implies that both the restricted and full…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"all"}