7 citations · 10 across the 8 of their papers we have counts for
9 papers
Pure extension of the theta divisor over the moduli space of abelian varieties
Ana María Botero, José Ignacio Burgos Gil, David Holmes +1
A theta divisor on the universal principally polarised abelian variety can be extended to a compactification either by taking the Zariski closure, or by taking the unique extension…
Canonical local heights and Berkovich skeleta
Robin de Jong, Farbod Shokrieh
We discuss canonical local heights on abelian varieties over non-archimedean fields from the point of view of Berkovich analytic spaces. Our main result is a refinement of Néron's…
Computing heights via limits of Hodge structures
Spencer Bloch, Robin de Jong, Emre Can Sertöz
We consider the problem of explicitly computing Beilinson--Bloch heights of homologically trivial cycles on varieties defined over number fields. Recent results have established a…
Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated
Ana María Botero, José Ignacio Burgos Gil, David Holmes +1
We show that the ring of Siegel-Jacobi forms of fixed degree and of fixed or bounded ratio between weight and index is not finitely generated. Our main tool is the theory of toroid…
Chern-Weil and Hilbert-Samuel formulae for singular hermitian line bundles
Ana María Botero, José Ignacio Burgos Gil, David Holmes +1
We show a Chern-Weil type statement and a Hilbert-Samuel formula for a large class of singular plurisubharmonic metrics on a line bundle over a smooth projective complex variety. F…
Jumps in the height of the Ceresa cycle
Robin de Jong, Farbod Shokrieh
We study the jumps in the archimedean height of the Ceresa cycle, as introduced by R. Hain in his work on normal functions on moduli spaces of curves, and as further analyzed by P.…
Positivity of the height jump divisor
Jose Ignacio Burgos Gil, David Holmes, Robin de Jong
We study the degeneration of semipositive smooth hermitian line bundles on open complex manifolds, assuming that the metric extends well away from a codimension two analytic subset…
One half log discriminant and division polynomials
Robin de Jong
L. Szpiro and T. Tucker recently proved that under mild conditions, the valuation of the minimal discriminant of an elliptic curve with semistable reduction over a discrete valuati…
Faltings' delta-invariant of a hyperelliptic Riemann surface
Robin de Jong
In this note we give a closed formula for Faltings' delta-invariant of a hyperelliptic Riemann surface.