The main subject of this work is the difference between the coarse moduli space and the stack of hyperelliptic curves. We compute their Picard groups, giving explicit description of the generators. We get an application to the non-existence of a tautological family over the coarse moduli space.
Gorchinskiy, S., Viviani, F. (2008). Picard group of moduli of hyperelliptic curves. MATHEMATISCHE ZEITSCHRIFT, 258, 319-331 [10.1007/s00209-007-0173-9].
Picard group of moduli of hyperelliptic curves
VIVIANI, FILIPPO
2008-01-01
Abstract
The main subject of this work is the difference between the coarse moduli space and the stack of hyperelliptic curves. We compute their Picard groups, giving explicit description of the generators. We get an application to the non-existence of a tautological family over the coarse moduli space.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Pic-hyperelliptic(PUBLISHED).pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
235.06 kB
Formato
Adobe PDF
|
235.06 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
