Abstract
We show that the compactified Jacobian (and its desingularization) of an integral nodal curve Y satisfies the weak point property and the Jacobian of Y satisfies the diagonal property. We compute some cohomologies of Picard bundles on the compactified Jacobian and its desingularization.
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Acknowledgements
The authors would like to thank the referee for useful comments, one of which led to improvement of results in Proposition 4.5(3). This work was done during the tenure of the first author in Indian Institute of Science, Bangalore, as a Raja Ramanna Fellow. The second author (SS) thanks Prof. Piotr Pragacz for motivating to study the diagonal and the point property, and is supported by the Post-Doctoral Research Fellowship of Institute of Mathematics, Polish Academy of Sciences.
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BHOSLE, U.N., SINGH, S. Weak point property and sections of Picard bundles on a compactified Jacobian over a nodal curve. Proc Math Sci 126, 329–339 (2016). https://doi.org/10.1007/s12044-016-0290-7
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DOI: https://doi.org/10.1007/s12044-016-0290-7