We compute the Kodaira dimension of the universal Picard variety P d,g parameterizing line bundles of degree d on curves of genus g under the assumption that (d-g+1,2g-2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational.
Bini, G., Fontanari, C., & Viviani, F. (2012). On the Birational Geometry of the Universal Picard Variety. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012(4), 740-780.
Data di pubblicazione: | 2012 |
Titolo: | On the Birational Geometry of the Universal Picard Variety |
Autori: | |
Citazione: | Bini, G., Fontanari, C., & Viviani, F. (2012). On the Birational Geometry of the Universal Picard Variety. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012(4), 740-780. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/imrn/rnr045 |
Abstract: | We compute the Kodaira dimension of the universal Picard variety P d,g parameterizing line bundles of degree d on curves of genus g under the assumption that (d-g+1,2g-2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational. |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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