Cyperus luzulae (L.) Rottb. ex Retz., Observ. bot. 4: 11. 1786 sec. González-Elizondo & al. 2018
- ≡Scirpus luzulae L., Sp. Pl., ed. 2: 75. 1762 syn. sec. Diego & González 2008
- =Cyperus globulosus Aubl., Hist. pl. Guiane 1: 47. 1775 syn. sec. Diego & González 2008
- =Cyperus polycephalus Lam., Tabl. Encycl. 1: 147. 1791 syn. sec. Diego & González 2008
- =Cyperus sphaerostachys Link in Jahrb. Gewächsk. 1: 89. 1820 syn. sec. Diego & González 2008
- =Kyllinga polycephala (Lam.) Link, Enum. hort. berol. alt 1: 47. 1821 syn. sec. Diego & González 2008
- =Mariscus polycephalus (Lam.) Link, Hort. berol. 1: 324. 1827 syn. sec. Diego & González 2008
- =Mariscus parviflorus Nees in Flora 11: 329-331. 1828 syn. sec. Diego & González 2008
- =Cyperus trinitatis Steud., Syn. pl. glumac. 2: 26. 1854 syn. sec. Diego & González 2008
- =Cyperus luzulae var. minor Boeckeler in Linnaea 35: 561. 1868 syn. sec. Diego & González 2008
- =Cyperus pseudosurinamensis Boeckeler in Allg. Bot. Z. Syst. 1: 201. 1895 syn. sec. Diego & González 2008
- =Cyperus bangianus Gand. in Bull. Soc. Bot. France 66: 297. 1919 syn. sec. Diego & González 2008
- =Cyperus guatemalensis Gand. in Bull. Soc. Bot. France 66(7): 298. 1919 syn. sec. Diego & González 2008
- =Cyperus luzulae f. pallidiflorens Kük., Pflanzenr. IV. 20 (Heft 101, 2): 171. 1936 syn. sec. Diego & González 2008