On the geometry of moduli of curves and line bundles

Fontanari, Claudio

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 16 (2005), p. 45-59 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

Here we focus on the geometry of ${\bar{P}}_{d, g}$ , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into ${\bar{P}}_{d, g}$ and we give generators and relations of the rational Picard group of ${\bar{P}}_{d, g}$ , extending previous work by A. Kouvidakis.

Il presente lavoro è dedicato alla geometria di ${\bar{P}}_{d, g}$ , la compattificazione della varietà di Picard universale costruita da L. Caporaso. In particolare, si dimostra che lo spazio dei moduli delle curve spin costruito da M. Cornalba si mappa iniettivamente in ${\bar{P}}_{d, g}$ e si esibiscono generatori e relazioni del gruppo di Picard razionale di ${\bar{P}}_{d, g}$ , estendendo un precedente risultato di A. Kouvidakis.

Publié le : 2005-03-01

MR 2225922 | Zbl 1222.14055

@article{RLIN_2005_9_16_1_45_0,
     author = {Claudio Fontanari},
     title = {On the geometry of moduli of curves and line bundles},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {16},
     year = {2005},
     pages = {45-59},
     zbl = {1222.14055},
     mrnumber = {2225922},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2005_9_16_1_45_0}
}

Fontanari, Claudio. On the geometry of moduli of curves and line bundles. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 16 (2005) pp. 45-59. http://gdmltest.u-ga.fr/item/RLIN_2005_9_16_1_45_0/

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