WebFINE COMPACTIFIED JACOBIANS OF REDUCED CURVES 5343 criterion of properness (see Fact 2.2). Clearly, J X admits a decomposition into a disjoint union J X = χ∈Z J χ … WebIt is worth noticing that, in the case of reduced but not irreducible spectral curves, the compactified Jacobians appearing as fibers of the Hitchin fibration turn out to be fine …

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WebSep 16, 2010 · Finally, we determine when a fine compactified Jacobian is isomorphic to the corresponding Oda-Seshadri's coarse compactified Jacobian. Comments: 35 pages; final version, to appear in Math. WebTo every singular reduced projective curve X one can associate, following E. Esteves, many fine compactified Jacobians, depending on the choice of a polarization on X, each of which yields a modular compactification of a disjoint union of the generalized Jacobian of X. We prove that, for a reduced curve with locally planar singularities, the integral (or … consortium of grammar schools birmingham

Fourier-Mukai and autoduality for compactified Jacobians II

WebAug 27, 2016 · Namely, using our Theorem 2.6, we give an alternative proof of Theorem A in : if X is a reduced curve with locally planar singularities, the integral functor defined by a Poincaré sheaf from the derived category of the generalized Jacobian of X (in general, a non-projective scheme) to the derived category of any fine compactified Jacobian of X ... WebTo every singular reduced projective curve X one can associate, following E. Esteves, many fine compactified Jacobians, depending on the choice of a polarization on X, each of which yields a modular compactification of a disjoint union of the generalized Jacobian of X. We prove that, for a reduced curve with locally planar singularities, the Fourier-Mukai … http://export.arxiv.org/abs/1406.2299 consortium of lichen herbaria