A characterization of bielliptic curves and applications to their moduli spaces |
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| Authors: | Gianfranco Casnati Andrea Del Centina |
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| Institution: | (1) Dipartimento di Matematica, Politecnico di Torino, c.so Duca degli Abruzzi 24, 10129 Torino, Italy, e-mail: casnati@calvino.polito.it, IT;(2) Dipartimento di Matematica, Università degli Studi di Ferrara, via Machiavelli 35, 44100 Ferrara, Italy, e-mail: cen@ifeuniv.unife.it, IT |
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| 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 ?
g
be
of such curves, of the rationality of the Hurwitz scheme ℌ
be
4,
g
of bielliptic curves of even genus g, whereas, when g is odd, we construct a finite map ℂ2
g
-2→?
g
be
and compute its degree.
Received: March 25, 2000; in final form: March 10, 2001?Published online: May 29, 2002 |
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| Keywords: | Mathematics Subject Classification (2000) 14H10 14H45 |
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