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Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves.
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KOZIARZ, Vincent | |
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.date.accessioned | 2024-04-04T03:11:13Z | |
| dc.date.available | 2024-04-04T03:11:13Z | |
| dc.date.issued | 2018 | |
| dc.identifier.issn | 0012-9593 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193754 | |
| dc.description.abstractEn | We show that the complex hyperbolic metrics defined by Deligne-Mostow and Thurston on M0,n are singular K\"ahler-Einstein metrics when $M_{0,n}$ is embedded in the Deligne-Mumford-Knudsen compactification$\bar{M}_{0,n}$. As a consequence, we obtain a formula computing the volumes of $M_{0,n}$ with respect to these metrics using intersection of boundary divisors of $\bar{M}_{0,n}$. In the case of rational weights, following an idea of Y. Kawamata, we show that these metrics actually represent the first Chern class of some line bundles on $\bar{M}_{0,n}$, from which other formulas computing the same volumes are derived. | |
| dc.language.iso | en | |
| dc.publisher | Société mathématique de France | |
| dc.title.en | Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of pointed genus zero curves. | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.24033/asens.2381 | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 1601.05252 | |
| bordeaux.journal | Annales Scientifiques de l'École Normale Supérieure | |
| 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-01449671 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01449671v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20Scientifiques%20de%20l'%C3%89cole%20Normale%20Sup%C3%A9rieure&rft.date=2018&rft.eissn=0012-9593&rft.issn=0012-9593&rft.au=KOZIARZ,%20Vincent&NGUYEN,%20Duc-Manh&rft.genre=article |
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