Néron models and compactified Picard schemes over the moduli stack of stable curves
نویسنده
چکیده
We construct modular Deligne-Mumford stacks Pd,g representable over Mg parametrizing Néron models of Jacobians as follows. Let B be a smooth curve andK its function field, let XK be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model N(Pic XK) → B is then the base change of Pd,g via the moduli map B −→ Mg of f , i.e.: N(Pic XK) ∼= Pd,g ×Mg B. Moreover Pd,g is compactified by a DeligneMumford stack over Mg, giving a completion of Néron models naturally stratified in terms of Néron models.
منابع مشابه
NÉRON MODELS AND COMPACTIFIED PICARD SCHEMES OVER THE MODULI STACK OF STABLE CURVES By LUCIA CAPORASO
We construct modular Deligne-Mumford stacks Pd,g representable over Mg parametrizing Néron models of Jacobians as follows. Let B be a smooth curve and K its function field, let XK be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model N(PicXK ) → B is then the base change of Pd,g via the moduli map B −→ Mg of f , i.e.: N(PicXK ) ∼= Pd,g ×Mg B. Moreover Pd,g is c...
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