Hostname: page-component-7c8c6479df-p566r Total loading time: 0 Render date: 2024-03-29T08:08:36.760Z Has data issue: false hasContentIssue false

The rationality of the Weierstrass space of type (4,g)

Published online by Cambridge University Press:  15 January 2004

G. CASNATI
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, c.so Duca Degli Abruzzi 24, 10129 Torino, Italy. e-mail: casnati@calvino.polito.it
A. DEL CENTINA
Affiliation:
Dipartimento di Matematica, Università Degli Studi di Ferrara, via Machiavelli 35, 44100 Ferrara, Italy. e-mail: cen@dns.unife.it

Abstract

Let ${\frak M}_{g}$ be the moduli space of smooth, integral curves of genus $g$ over the complex field ${\mathbb C}$ and let $\overline{{\frak M}}_{g}$ be its Mumford–Deligne compactification. If $C$ is a smooth, integral curve of genus $g$ we denote by [$C$] its isomorphism class in ${\frak M}_{g}$.

Type
Research Article
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)