This article is cited in 1 paper

On the resolution of 3-dimensional terminal singularities

D. A. Stepanov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We show that there is at most one nonrational exceptional divisor with discrepancy 1 over a three-dimensional terminal point of type $cD$. If such a divisor exists, then it is birationally isomorphic to the surface $\mathbb P^1\times C$, where $C$ is a hyperelliptic (for $g(C)>1$) curve.

UDC: 512

Received: 11.11.2003

DOI: 10.4213/mzm2476

 English version: Mathematical Notes, 2005, 77:1, 117–129

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