| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598023 | Journal of Pure and Applied Algebra | 2008 | 9 Pages |
Abstract
The locus in the moduli space of curves where the Petri map fails to be injective is called the Petri locus. In this paper we provide a new proof on the existence of Divisorial components in the Petri locus for the case of pencils. For this proof we produce some special reducible curves (chains of elliptic components) in the Petri locus and we show that such curves have only a finite number of pencils for which the Petri map is not injective.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Abel Castorena, Montserrat Teixidor i Bigas,