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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