3 papers
math.AG2026
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…
math.NT2018
Explicit arithmetic intersection theory and computation of Néron-Tate heights
Raymond van Bommel, David Holmes, J. Steffen Müller
We describe a general algorithm for computing intersection pairings on arithmetic surfaces. We have implemented our algorithm for curves over , and we show how to use it…
math.AG2014
Néron models and the height jump divisor
Owen Biesel, David Holmes, Robin de Jong
We define an algebraic analogue, in the case of jacobians of curves, of the height jump divisor introduced recently by R. Hain. We give explicit combinatorial formulae for the heig…