2,458 research outputs found

    The first main theorem on complements: from global to local

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    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

    Towards the second main theorem on complements

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    On birational involutions of P3P^3

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    Let XX be a rationally connected three-dimensional algebraic variety and let τ\tau be an element of order two in the group of its birational selfmaps. Suppose that there exists a non-uniruled divisorial component of the τ\tau-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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