Compactified Jacobians of Néron type
نویسندگان
چکیده
منابع مشابه
Compactified Jacobians and Torelli Map
We compare several constructions of compactified jacobians using semistable sheaves, semistable projective curves, degenerations of abelian varieties, and combinatorics of cell decompositions and show that they are equivalent. We give a detailed description of the ”canonical compactified jacobian” in degree g − 1. Finally, we explain how Kapranov’s compactification of configuration spaces can b...
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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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ژورنال
عنوان ژورنال: Rendiconti Lincei - Matematica e Applicazioni
سال: 2012
ISSN: 1120-6330
DOI: 10.4171/rlm/625