A view on contractions of higher dimensional varieties

Details A view on contractions of higher dimensional varieties A view on contractions of higher dimensional varieties

1996-11-14

arxiv.org/abs/alg-geom/9611017v1

Mathematics

Algebraic Geometry

AMS-TeX (pspum), 31 pages

Scientific paper

In this paper we discuss some recent results about extremal contractions of complex algebraic varieties. These are proper surjective maps, $\phi: X\longrightarrow Z$, of normal varieties with connected fibers such that $X$ has mild singularities (in particular $X$ is $Q$-Gorenstein) and the anticanonical divisor of $X$ is $\phi$ ample. It will appear on the Proceedings of AMS-SRI on Algebraic Geometry, Santa Cruz 1995.

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