scholarly journals The compactified jacobian can be nonreduced

2015 ◽  
Vol 47 (4) ◽  
pp. 686-692
Author(s):  
Jesse Leo Kass
Keyword(s):  
Compactified Jacobian

Very ampleness for Theta on the compactified Jacobian

1997 ◽  
Vol 226 (2) ◽  
pp. 181-191 ◽  
Author(s):  
Eduardo Esteves
Keyword(s):  
Very Ampleness ◽  
Compactified Jacobian

scholarly journals Compactified Jacobian of some unibranch curves

1994 ◽  
Vol 217 (1) ◽  
pp. 47-55
Author(s):  
Jyotsna Gokhale
Keyword(s):  
Compactified Jacobian

Irreducibility of the Compactified Jacobian

1977 ◽  
pp. 1-12 ◽  
Author(s):  
Allen B. Altman ◽  
Anthony Iarrobino ◽  
Steven L. Kleiman
Keyword(s):  
Compactified Jacobian

Fourier–Mukai Transform on a Compactified Jacobian

2018 ◽  
Vol 2020 (13) ◽  
pp. 3991-4015
Author(s):  
Usha N Bhosle ◽  
Sanjay Kumar Singh
Keyword(s):  
Moduli Space ◽  
Vector Bundles ◽  
Chern Classes ◽  
Nodal Curve ◽  
Injective Morphism ◽  
Compactified Jacobian ◽  
Fixed Rank

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 $Y$.

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