The first main theorem on complements: from global to local

Details The first main theorem on complements: from global to local The first main theorem on complements: from global to local

1999-12-25

arxiv.org/abs/math/9912200v2

Izvestiya Math. Russian Acad. Sci., 65(6):1169-1196, 2001

Mathematics

Algebraic Geometry

27 pages, LaTeX2e

Scientific paper

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.

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