Compactified Jacobians and Torelli Map
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 …