Toward the second main theorem on complements: from local to global
Algebraic Geometry
2010-04-26 v4
Abstract
We prove the boundedness of complements modulo two conjectures: Borisov-Alexeev conjecture and effective adjunction for fibre spaces. We discuss the last conjecture and prove it in two particular cases.
Cite
@article{arxiv.math/0606242,
title = {Toward the second main theorem on complements: from local to global},
author = {Yu. G. Prokhorov and V. V. Shokurov},
journal= {arXiv preprint arXiv:math/0606242},
year = {2010}
}
Comments
46 pages, LaTeX, third version, we made some changes to improve presentation, to appear in Journal of Algebraic Geometry