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Linear series on a stable curve of compact type and relations among Brill-Noether loci.
- Source :
-
Journal of Algebra . Apr2020, Vol. 547, p70-94. 25p. - Publication Year :
- 2020
-
Abstract
- Let C be a stable curve of compact type such that two smooth curves with general moduli are bridged by a chain of n -elliptic curves, which will be called a TCBE curve. In the present paper, we investigate the existence of a smoothable limit linear series on C whose Brill-Noether number ρ satisfies − n ≤ ρ < 0. Through this work, we find some relationships between a family of TCBE curves of genus g and a Brill-Noether locus in the moduli space of stable curves of genus g. Further, these results show some relations among Brill-Noether loci. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CURVES
*ALGEBRAIC curves
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 547
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 141136635
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2019.10.048