English

HyperK\"ahler Manifolds and Birational Transformations in dimension 4

Algebraic Geometry 2007-05-23 v1

Abstract

We show that any birational map between projective hyperK\"ahler manifolds of dimension 4 is composed of a sequence of simple flops or elementary Mukai transformations under the assumption that each irreducible component of the indeterminacy of the birational map is normal.

Keywords

Cite

@article{arxiv.math/0004154,
  title  = {HyperK\"ahler Manifolds and Birational Transformations in dimension 4},
  author = {Dan Burns and Yi Hu and Tie Luo},
  journal= {arXiv preprint arXiv:math/0004154},
  year   = {2007}
}