The aim of this paper is to study some modular contractions of the moduli space of stable pointed curves Mg,n . These new moduli spaces, which are modular compactifications of Mg,n, are related to the minimal model program for Mg,n and have been introduced by Codogni et al. (2018). We interpret them as log canonical models of adjoint divisors and we then describe the Shokurov decomposition of a region of boundary divisors on Mg,n .
Codogni, G., Tasin, L., Viviani, F. (2021). On some modular contractions of the moduli space of stable pointed curves. ALGEBRA & NUMBER THEORY, 15(5), 1245-1281 [10.2140/ant.2021.15.1245].
On some modular contractions of the moduli space of stable pointed curves
Codogni, Giulio;Viviani, Filippo
2021-01-01
Abstract
The aim of this paper is to study some modular contractions of the moduli space of stable pointed curves Mg,n . These new moduli spaces, which are modular compactifications of Mg,n, are related to the minimal model program for Mg,n and have been introduced by Codogni et al. (2018). We interpret them as log canonical models of adjoint divisors and we then describe the Shokurov decomposition of a region of boundary divisors on Mg,n .| File | Dimensione | Formato | |
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On some modular contraction of the moduli spaces of stable pointed curves.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
1.48 MB
Formato
Adobe PDF
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1.48 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
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