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Relative Jacobians of elliptic fibrations with reducible fibers - MaRDI portal

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Relative Jacobians of elliptic fibrations with reducible fibers

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Publication:6474594

DOI10.1016/J.GEOMPHYS.2005.02.007arXivmath/0410394MaRDI QIDQ6474594

Author name not available (Why is that?)

Publication date: 18 October 2004

Abstract: We prove that if X and S are smooth varieties and fcolonXoS is an elliptic fibration with singular fibers curves of types IN with Ngeq1, II, III and IV, then the relative Jacobian of f, defined as the relative moduli space of semistable pure dimension one sheaves of rank 1 and degree 0 on the fibers of f, is an elliptic fibration such that all its fibers are irreducible. This extends known results when fibers are integral or of type I2.





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