On some results of Morita and their application to questions of ampleness |
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Authors: | Alexis Kouvidakis |
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Affiliation: | (1) University of Crete, Department of Mathematics, 71409 Heraklion-Crete, Greece (e-mail: kouvid@math.uoc.gr) , GR |
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Abstract: | We give an algebro-geometric proof of some results of Morita concerning the pull back of a cohomology class in the Jacobian fibration of a family of curves to the family itself. We apply those to the question of ampleness of line bundles on the family of curves and its symmetric products. Received: 3 April 2001; in final form: 1 October 2001/ Published online: 4 April 2002 |
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Keywords: | Mathematics Subject Classification (2000):14C20 14D06 14H10 14H40 |
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