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| 999 | _c21917 _d21917 | ||
| 003 | OSt | ||
| 005 | 20241213111857.0 | ||
| 008 | 241213b xxu||||| |||| 00| 0 eng d | ||
| 040 | _aAIKTC-KRRC _cAIKTC-KRRC | ||
| 100 | _924797 _aBhosle, Usha N. | ||
| 245 | _aSome results on the compactified Jacobian of a nodal curve | ||
| 250 | _aVol.55(1), Mar | ||
| 260 | _aNew Delhi _bSpringer _c2024 | ||
| 300 | _a105-122p. | ||
| 520 | _aLet Y be an integral nodal curve. We show that the connected component of the moduli space of torsion free sheaves of rank 1 on the compactified Jacobian of Y, which contains Pic, is isomorphic to under the map induced by the Abel–Jacobi embedding of Y in . We determine the Chern classes (in Chow group) of the Picard bundles on the desingularisation of the compactified Jacobian over a nodal curve Y. We study the relation between the singular cohomology of , and J(X) and use it to determine the singular cohomology of the compactified Jacobian of an integral nodal curve. We prove that the compactified Jacobian of an integral nodal curve with k nodes is homeomorphic to the product of the Jacobian of the normalisation and k rational nodal curves of arithmetic genus 1. | ||
| 650 | 0 | _94642 _aHumanities and Applied Sciences | |
| 700 | _924798 _aParameswaran, A. J. | ||
| 773 | 0 | _tIndian journal of pure and applied mathematics _dNew Delhi Indian National Science Academy _x0019-5588 | |
| 856 | _uhttps://link.springer.com/article/10.1007/s13226-022-00349-z _yClick here | ||
| 942 | _2ddc _cAR | ||