A homological condition for a dynamical and illuminatory classification of torus branched coverings

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110194We prove that, for translation surfaces whose homology is generated by the periodic orbits, the notions of - finite blocking property - pure periodicity - torus branched covering are equivalent. In particular, we prove this equivalence for convex surfaces and on a dense open subset of full measure on every normalized stratum.18 pages, 13 figuresDynamical Systems37D50; 37C27; 57M12; 51E21; 55N99; 37E35; 32G15A homological condition for a dynamical and illuminatory classification of torus branched coveringstext