The rationality of certain moduli spaces associated to half-canonical extremal curves Original Research Article

We prove the existence of a coarse, irreducible moduli space image (resp. image) for (resp. pointed) subcanonical extremal curves of level m−1 and genus g in image . When g = 3r, r ≥ 4, r ≠ 5, odd (resp. even) we show that image (resp. image) is rational.