Fourier–Mukai Transform on a Compactified Jacobian
2018 ◽
Vol 2020
(13)
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pp. 3991-4015
Keyword(s):
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 $r \ge 2$ 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 $r \ge 2$ 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 $Y$.
Keyword(s):
2013 ◽
Vol 94
(1)
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pp. 1-37
Keyword(s):
1975 ◽
Vol 59
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pp. 107-134
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2018 ◽
Vol 167
(01)
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pp. 61-64
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Keyword(s):
2013 ◽
Vol 42
(3)
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pp. 1111-1122
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