Néron models over moduli of stable curves
نویسنده
چکیده
We construct Deligne-Mumford stacks Pd,g representable over Mg parametrizing Néron models of Jacobians as follows. Let K = k(B) be a one-dimensional function field and let XK be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model N(PicXK) −→ B is the base change of Pd,g via the moduli map B −→ Mg of f , that is: N(Pic XK) ∼= Pd,g ×Mg B. Pd,g is compactified by a Deligne-Mumford stack representable over Mg, giving a completion of Néron models naturally stratified in terms of Néron models.
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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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