185 citations · 736 across the 61 of their papers we have counts for
4 papers · 1 filter
Equivariant resolution of singularities in characteristic 0
Dan Abramovich, Jianhua Wang
A new proof of equivariant resolution of singularities under a finite group action in characteristic 0 is provided. We assume we know how to resolve singularities without group act…
A linear lower bound on the gonality of modular curves
Dan Abramovich
The result in the title is proven, using the Selberg estimate on the leading eigenvalue of the non-Euclidean Laplacian, and the method of conformal volumes of Li and Yau.
A high fibered power of a family of varieties of general type dominates a variety of general type
Dan Abramovich
We prove the following theorem: Fibered Power Theorem: Let $X\rar B$ be a smooth family of positive dimensional varieties of general type, with irreducible. Then there exists a…
Smoothness, Semistability, and Toroidal Geometry
Dan Abramovich, Johan de Jong
We provide a new proof of the following result: Let be a variety of finite type over an algebraically closed field of characteristic 0, let be a proper closed…