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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Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the corresponding Abel map AL:C → J̄ , which maps C into its compactified Jacobian, and form its pullback map A L : Pic J̄ → J , which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then A L is known to be an isomorphis...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2012
ISSN: 0025-584X
DOI: 10.1002/mana.201100021