This paper studies the local geometry of compactified Jacobians. The main result is a presentation of the completed local ring of the compactified Jacobian of a nodal curve as an explicit ring of invariants described in terms of the dual graph of the curve. The authors have investigated the geometric and combinatorial properties of these rings in previous work, and consequences for compactified Jacobians are presented in this paper. Similar results are given for the local structure of the universal compactified Jacobian over the moduli space of stable curves.
CASALAINA MARTIN, S., Kass, J.l., Viviani, F. (2015). The Local Structure of Compactified Jacobians. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 110(2), 510-542 [10.1112/plms/pdu063].
The Local Structure of Compactified Jacobians
VIVIANI, FILIPPO
2015-01-01
Abstract
This paper studies the local geometry of compactified Jacobians. The main result is a presentation of the completed local ring of the compactified Jacobian of a nodal curve as an explicit ring of invariants described in terms of the dual graph of the curve. The authors have investigated the geometric and combinatorial properties of these rings in previous work, and consequences for compactified Jacobians are presented in this paper. Similar results are given for the local structure of the universal compactified Jacobian over the moduli space of stable curves.File | Dimensione | Formato | |
---|---|---|---|
LocStructure(PUBLISHED).pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
466.33 kB
Formato
Adobe PDF
|
466.33 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.