Fine compactified jacobians of reduced curves
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 … WebJan 21, 2010 · Fine compactified Jacobians of reduced curves Margarida Melo, A. Rapagnetta, Filippo Viviani Mathematics 2014 To every singular reduced projective …
Fine compactified jacobians of reduced curves
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WebJun 9, 2014 · Abstract To every singular reduced projective curve X one can associate many fine compactified Jacobians, depending on the choice of a polarization on X, … WebNov 29, 2008 · A curve, that is, a connected, reduced, projective scheme of dimension 1 over an algebraically closed field, admits two types of compactifications of its …
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 ... WebWe study Esteves's fine compactified Jacobians for nodal curves. We give a proof of the fact that, for a one‐parameter regular local smoothing of a nodal curve X, the relative …
WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). WebAug 2, 2013 · Download PDF Abstract: To every reduced (projective) curve X with planar singularities one can associate many fine compactified Jacobians, depending on the choice of a polarization on X, which are birational (possibly non-isomorphic) Calabi-Yau projective varieties with locally complete intersection singularities. We define a Poincare' …
WebIn this paper we describe compactifications of the universal Jacobian stack of line bundles over smooth curves obtained by considering open substacks of the moduli stack of torsion-free rank-1 simple sheaves on reduced curves of given genus. The results we describe are mostly expository and based on Altman–Kleiman and Esteves constructions of …
WebJun 9, 2014 · We study universal fine compactified Jacobians, which are relative fine compactified Jacobians over the semiuniversal deformation space of the curve X. … itzy inspired outfitsWebJun 9, 2014 · We study universal fine compactified Jacobians, which are relative fine compactified Jacobians over the semiuniversal deformation space of the curve X. … itzy in the morning 歌詞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 … itzy in the morning danceWebMargarida Melo, Antonio Rapagnetta, Filippo Viviani Fine compacti ed Jacobians of reduced curves Transactions of the American Mathematical Society DOI: 10.1090/tran/6823 Accepted netherlands places to visit in summerWebApr 8, 2024 · To every singular reduced projective curve X one can associate, following 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 ... netherlands players fluWebWe study universal fine compactified Jacobians, which are relative fine compactified Jacobians over the semiuniversal deformation space of the curve X. Finally, we … itzy in the morning outfitsWebTo every singular reduced projective curve X one can associate 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 investigate the geometric properties of fine compactified Jacobians focusing on curves having locally … netherlands player stats