Codimension 1 subvarieties $\scr M\sb g$ and real gonality of real curves

Title:

Codimension 1 subvarieties $\scr M\sb g$ and real gonality of real curves

Creator:

Ballico, Edoardo

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4fb58e28-c461-4420-98e3-ff24a479c287
uuid:4fb58e28-c461-4420-98e3-ff24a479c287

Subject:

moduli space of curves, gonality, real curves, Brill-Noether theory, real algebraic curves, and real Riemann surfaces

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let ${\mathcal{M}}_g$ be the moduli space of smooth complex projective curves of genus $g$. Here we prove that the subset of ${\mathcal{M}}_g$ formed by all curves for which some Brill-Noether locus has dimension larger than the expected one has codimension at least two in ${\mathcal{M}}_g$. As an application we show that if $X \in {\mathcal{M}}_g$ is defined over ${\mathbb {R}}$, then there exists a low degree pencil $u\: X \rightarrow {\mathbb {P}}^1$ defined over ${\mathbb {R}}$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

917-924

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:4

Harvested from:

CDK

Metadata only:

false