2,458 research outputs found
The first main theorem on complements: from global to local
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.Comment: 27 pages, LaTeX2
On birational involutions of
Let be a rationally connected three-dimensional algebraic variety and let
be an element of order two in the group of its birational selfmaps.
Suppose that there exists a non-uniruled divisorial component of the
-fixed point locus. Using the equivariant minimal model program we give a
rough classification of such elements.Comment: 24 pages, late
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