22 citations · 75 across the 8 of their papers we have counts for
5 papers · 2 filters
Complete moduli for families over semistable curves
Dan Abramovich, Angelo Vistoli
This note is but a research announcement, summarizing and explaining results proven and detailed in forthcoming papers. When one studies families of objects over curves, and the ob…
Uniformity of stably integral points on principally polarized abelian surfaces
Dan Abramovich, Kenji Matsuki
We prove, assuming that the conjecture of Lang and Vojta holds true, that there is a uniform bound on the number of stably integral points in the complement of the theta divisor on…
Stable maps and Hurwitz schemes in mixed characteristic
Dan Abramovich, Frans Oort
In this short note, we propose a definition of complete Hurwitz schemes (and stacks) in mixed characteristic. We follow an idea of R. Pandharipande, and define the complete Hurwitz…
Alterations and resolution of singularities
Dan Abramovich, Frans Oort
On July 26, 1995, at the University of California, Santa Cruz, a young Dutch mathematician by the name Aise Johan de Jong made a revolution in the study of the arithmetic, geometry…
Complete moduli for fibered surfaces
Dan Abramovich, Angelo Vistoli
Families of stable curves of genus over a smooth curve correspond to morphisms from to the moduli stack of stable curves . It is natural to compactify t…