42 citations · 123 across the 18 of their papers we have counts for
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Singular curves and their compactified Jacobians
Jesse Leo Kass
We survey the theory of the compactified Jacobian associated to a singular curve. We focus on describing low genus examples using the Abel map.
An explicit semi-factorial compactification of the Néron model
Jesse Leo Kass
C.~Pépin recently constructed a semi-factorial compactification of the Néron model of an abelian variety using the flattening technique of Raynaud--Gruson. Here we prove that an ex…
The compactified jacobian can be nonreduced
Jesse Leo Kass
We prove by explicit example that the compactified jacobian can be nonreduced. The example is a rational space curve of arithmetic genus 4. This answers a question posed by Cyril D…
Autoduality holds for a degenerating abelian variety
Jesse Leo Kass
We prove that certain degenerate abelian varieties, the compactified Jacobian of a nodal curve and a stable quasiabelian variety, satisfy autoduality. We establish this result by p…
Extensions of the universal theta divisor
Jesse Leo Kass, Nicola Pagani
The Jacobian varieties of smooth curves fit together to form a family, the universal Jacobian, over the moduli space of smooth marked curves, and the theta divisors of these curves…