We deal with the covers of degree 4 naturally associated to a bielliptic curve of genus g ≥ 6, giving a proof of the unirationality of the moduli space script m signgbe of such curves, of the rationality of the Hurwitz scheme script h sign4,gbe of bielliptic curves of even genus g, whereas, when g is odd, we construct a finite map ℂ2g-2 → script m signgbe and compute its degree.
A characterization of bielliptic curves and applications to their moduli spaces
DEL CENTINA, Andrea
2002
Abstract
We deal with the covers of degree 4 naturally associated to a bielliptic curve of genus g ≥ 6, giving a proof of the unirationality of the moduli space script m signgbe of such curves, of the rationality of the Hurwitz scheme script h sign4,gbe of bielliptic curves of even genus g, whereas, when g is odd, we construct a finite map ℂ2g-2 → script m signgbe and compute its degree.File in questo prodotto:
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