The Picard group of the moduli space of curves with level structures
| dc.citation.firstpage | 623 | |
| dc.citation.issueNumber | 4 | en_US |
| dc.citation.journalTitle | Duke Mathematical Journal | en_US |
| dc.citation.lastpage | 674 | |
| dc.citation.volumeNumber | 161 | en_US |
| dc.contributor.author | Putman, Andrew | |
| dc.contributor.funder | National Science Foundation | en_US |
| dc.contributor.publisher | Duke University Press | en_US |
| dc.date.accessioned | 2013-09-13T15:33:54Z | |
| dc.date.available | 2013-09-13T15:33:54Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | For 4 - L and g large, we calculate the integral Picard groups of the moduli spaces of curves and principally polarized abelian varieties with level L structures. In particular, we determine the divisibility properties of the standard line bundles over these moduli spaces and we calculate the second integral cohomology group of the level L subgroup of the mapping class group (in a previous paper, the author determined this rationally). This entails calculating the abelianization of the level L subgroup of the mapping class group, generalizing previous results of Perron, Sato, and the author. Finally, along the way we calculate the first homology group of the mod L symplectic group with coefficients in the adjoint representation. | en_US |
| dc.embargo.terms | none | en_US |
| dc.identifier.citation | Putman, Andrew. "The Picard group of the moduli space of curves with level structures." <i>Duke Mathematical Journal,</i> 161, no. 4 (2012) 623-674. http://dx.doi.org/10.1215/00127094-1548362. | * |
| dc.identifier.doi | http://dx.doi.org/10.1215/00127094-1548362 | en_US |
| dc.identifier.grantID | DMS-1005318 (National Science Foundation) | |
| dc.identifier.uri | https://hdl.handle.net/1911/71892 | |
| dc.language.iso | eng | en_US |
| dc.rights | This is an author’s peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Duke University Press. | |
| dc.title | The Picard group of the moduli space of curves with level structures | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |