The Rationality of the Moduli Space of Bielliptic Curves of Genus Five
نویسنده
چکیده
For this we proceed as follows. If [CJeSK!?, then the canonical model C of C is the base locus of a net of quadric hypersurfaces in P£. The discriminant curve of such a net is a plane quintic which is the union of a non-singular quartic F and a line L. Moreover, F is endowed (in a natural way) with a non-effective theta characteristic n (that is, an invertible sheaf rj on F such that rj = Q.F and h°(F, rj) = 0). One can associate to C the triple (F,rj;L), and the existence of a birational equivalence
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