Volume forms on moduli spaces of d-differentials
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.date | 2023 | |
| dc.date.accessioned | 2024-04-04T02:35:59Z | |
| dc.date.available | 2024-04-04T02:35:59Z | |
| dc.date.created | 2019 | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 1465-3060 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190691 | |
| dc.description.abstractEn | Given $d\in \mathbb{N}$, $g\in \mathbb{N} \cup\{0\}$, and an integral vector $\kappa=(k_1,\dots,k_n)$ such that $k_i>-d$ and $k_1+\dots+k_n=d(2g-2)$, let $\Omega^d\mathcal{M}_{g,n}(\kappa)$ denote the moduli space of meromorphic $d$-differentials on Riemann surfaces of genus $g$ whose zeros and poles have orders prescribed by $\kappa$. We show that $\Omega^d\mathcal{M}_{g,n}(\kappa)$ carries a canonical volume form that is parallel with respect to its affine complex manifold structure, and that the total volume of $\mathbb{P}\Omega^d\mathcal{M}_{g,n}(\kappa)=\Omega^d\mathcal{M}_{g,n}/\mathbb{C}^*$ with respect to the measure induced by this volume form is finite. | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.title.en | Volume forms on moduli spaces of d-differentials | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| dc.identifier.arxiv | 1902.04830 | |
| bordeaux.journal | Geometry and Topology | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03942245 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03942245v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Geometry%20and%20Topology&rft.date=2023&rft.eissn=1465-3060&rft.issn=1465-3060&rft.au=NGUYEN,%20Duc-Manh&rft.genre=article |
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