Fourier-mukai transform on a compactified Jacobian

Bhosle, UN and Singh, SK (2020) Fourier-mukai transform on a compactified Jacobian. In: International Mathematics Research Notices, 2020 (13). pp. 3991-4015.

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Abstract

We use Fourier-Mukai transform to compute the cohomology of the Picard bundles on the compactified Jacobian of an integral nodal curve Y. We prove that the transform gives an injective morphism from the moduli space of vector bundles of rank r � 2 and degree d (d sufficiently large) on Y to the moduli space of vector bundles of a fixed rank and fixed Chern classes on the compactified Jacobian of Y. We show that this morphism induces a morphism from the moduli space of vector bundles of rank r � 2 and a fixed determinant of degree d on Y to the moduli space of vector bundles of a fixed rank with a fixed determinant and fixed Chern classes on the compactified Jacobian of Y. © The Author(s) 2018.

Item Type:	Journal Article
Publication:	International Mathematics Research Notices
Publisher:	Oxford University Press
Additional Information:	The copyright for this article belongs to Oxford University Press
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Mar 2021 11:57
Last Modified:	22 Mar 2021 11:57
URI:	http://eprints.iisc.ac.in/id/eprint/68558

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