A view on contractions of higher dimensional varieties

Abstract

In this paper we discuss some recent results about extremal contractions of complex algebraic varieties. These are proper surjective maps, $\varphi :X⟶Z$, 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 $\varphi$ ample. It will appear on the Proceedings of AMS-SRI on Algebraic Geometry, Santa Cruz 1995.

AMS-TeX (pspum), 31 pages

References in corpus (1)

• A note on non-vanishing and applications

Cited by in corpus (2)

• The rationality problem for conic bundles
• Projective Contact Manifolds