Some results on the compactified Jacobian of a nodal curve (Record no. 21917)

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fixed length control field a
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241213111857.0
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fixed length control field 241213b xxu||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency AIKTC-KRRC
Transcribing agency AIKTC-KRRC
100 ## - MAIN ENTRY--PERSONAL NAME
9 (RLIN) 24797
Author Bhosle, Usha N.
245 ## - TITLE STATEMENT
Title Some results on the compactified Jacobian of a nodal curve
250 ## - EDITION STATEMENT
Volume, Issue number Vol.55(1), Mar
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New Delhi
Name of publisher, distributor, etc. Springer
Year 2024
300 ## - PHYSICAL DESCRIPTION
Pagination 105-122p.
520 ## - SUMMARY, ETC.
Summary, etc. Let 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
9 (RLIN) 4642
Topical term or geographic name entry element Humanities and Applied Sciences
700 ## - ADDED ENTRY--PERSONAL NAME
9 (RLIN) 24798
Co-Author Parameswaran, A. J.
773 0# - HOST ITEM ENTRY
Title Indian journal of pure and applied mathematics
Place, publisher, and date of publication New Delhi Indian National Science Academy
International Standard Serial Number 0019-5588
856 ## - ELECTRONIC LOCATION AND ACCESS
URL https://link.springer.com/article/10.1007/s13226-022-00349-z
Link text Click here
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    Dewey Decimal Classification     School of Engineering & Technology School of Engineering & Technology Archieval Section 13/12/2024   2024-1553 13/12/2024 13/12/2024 Articles Abstract Database
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