Generically Finite Morphisms
Algebraic Geometry
2007-05-23 v1
Abstract
We consider the problem of birationally modifying a morphism of complete varieties to make it a morphism from a nonsingular variety to a normal variety. Our main result is to give a counterexample to this problem. This example also is a counterexample to the related conjecture of Abhyankar on ``weak simultaneous global resolution''. We also give some positive results. Forinstance, a positive result of this kind is possible if we remove the separatedness condition.
Cite
@article{arxiv.math/0109003,
title = {Generically Finite Morphisms},
author = {Steven Dale Cutkosky},
journal= {arXiv preprint arXiv:math/0109003},
year = {2007}
}