English

The first main theorem on complements: from global to local

Algebraic Geometry 2015-06-26 v2

Abstract

The aim of this paper is to clarify and generalize techniques of works alg-geom/9711024 (see also math.AG/9810097 and math.AG/9901004). Roughly speaking, we prove that for local Fano contractions the existence of complements can be reduced to the existence of complements for lower dimensional projective Fano varieties.

Keywords

Cite

@article{arxiv.math/9912200,
  title  = {The first main theorem on complements: from global to local},
  author = {Yu. G. Prokhorov and V. V. Shokurov},
  journal= {arXiv preprint arXiv:math/9912200},
  year   = {2015}
}

Comments

27 pages, LaTeX2e

R2 v1 2026-07-22T18:05:58.960Z